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Finding the Fourth Proportional to 61,154.72, 84,389.76 and 34,295.28

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Solution

The fourth proportional to 61,154.72, 84,389.76 and 34,295.28 is: 47,325.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,154.72 : 84,389.76 = 34,295.28 : x
  2. Step 2: Convert to fraction form
    61,154.72/84,389.76 = 34,295.28/x
  3. Step 3: Cross multiply
    61,154.72x = 84,389.76 × 34,295.28
  4. Step 4: Simplify right side
    61,154.72x = 2,894,170,448.33
  5. Step 5: Solve for x
    x = 2,894,170,448.33/61,154.72
  6. Step 6: Final answer
    x = 47,325.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.