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Finding the Fourth Proportional to 61,180.38, 84,423.96 and 34,319.16

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Solution

The fourth proportional to 61,180.38, 84,423.96 and 34,319.16 is: 47,357.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,180.38 : 84,423.96 = 34,319.16 : x
  2. Step 2: Convert to fraction form
    61,180.38/84,423.96 = 34,319.16/x
  3. Step 3: Cross multiply
    61,180.38x = 84,423.96 × 34,319.16
  4. Step 4: Simplify right side
    61,180.38x = 2,897,359,391.07
  5. Step 5: Solve for x
    x = 2,897,359,391.07/61,180.38
  6. Step 6: Final answer
    x = 47,357.66

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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.