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Finding the Fourth Proportional to 103,543.40, 142,883.70 and 61,115.24

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Solution

The fourth proportional to 103,543.40, 142,883.70 and 61,115.24 is: 84,335.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,543.40 : 142,883.70 = 61,115.24 : x
  2. Step 2: Convert to fraction form
    103,543.40/142,883.70 = 61,115.24/x
  3. Step 3: Cross multiply
    103,543.40x = 142,883.70 × 61,115.24
  4. Step 4: Simplify right side
    103,543.40x = 8,732,371,617.59
  5. Step 5: Solve for x
    x = 8,732,371,617.59/103,543.40
  6. Step 6: Final answer
    x = 84,335.38

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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.