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Finding the Fourth Proportional to 50,967.96, 76,445.04 and 19,386

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Solution

The fourth proportional to 50,967.96, 76,445.04 and 19,386 is: 29,076.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,967.96 : 76,445.04 = 19,386 : x
  2. Step 2: Convert to fraction form
    50,967.96/76,445.04 = 19,386/x
  3. Step 3: Cross multiply
    50,967.96x = 76,445.04 × 19,386
  4. Step 4: Simplify right side
    50,967.96x = 1,481,963,545.44
  5. Step 5: Solve for x
    x = 1,481,963,545.44/50,967.96
  6. Step 6: Final answer
    x = 29,076.38

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