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Finding the Fourth Proportional to 19,675,854.30, 29,513,781.45 and 10,109,916.30

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Solution

The fourth proportional to 19,675,854.30, 29,513,781.45 and 10,109,916.30 is: 15,164,874.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,675,854.30 : 29,513,781.45 = 10,109,916.30 : x
  2. Step 2: Convert to fraction form
    19,675,854.30/29,513,781.45 = 10,109,916.30/x
  3. Step 3: Cross multiply
    19,675,854.30x = 29,513,781.45 × 10,109,916.30
  4. Step 4: Simplify right side
    19,675,854.30x = 298,381,860,155,992.62
  5. Step 5: Solve for x
    x = 298,381,860,155,992.62/19,675,854.30
  6. Step 6: Final answer
    x = 15,164,874.45

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.