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Finding the Fourth Proportional to 78,591.74, 108,457.52 and 42,782.38

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Solution

The fourth proportional to 78,591.74, 108,457.52 and 42,782.38 is: 59,040.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,591.74 : 108,457.52 = 42,782.38 : x
  2. Step 2: Convert to fraction form
    78,591.74/108,457.52 = 42,782.38/x
  3. Step 3: Cross multiply
    78,591.74x = 108,457.52 × 42,782.38
  4. Step 4: Simplify right side
    78,591.74x = 4,640,070,349.44
  5. Step 5: Solve for x
    x = 4,640,070,349.44/78,591.74
  6. Step 6: Final answer
    x = 59,040.18

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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.