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Finding the Fourth Proportional to 78,540.40, 108,386.76 and 42,731.38

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Solution

The fourth proportional to 78,540.40, 108,386.76 and 42,731.38 is: 58,969.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,540.40 : 108,386.76 = 42,731.38 : x
  2. Step 2: Convert to fraction form
    78,540.40/108,386.76 = 42,731.38/x
  3. Step 3: Cross multiply
    78,540.40x = 108,386.76 × 42,731.38
  4. Step 4: Simplify right side
    78,540.40x = 4,631,515,828.53
  5. Step 5: Solve for x
    x = 4,631,515,828.53/78,540.40
  6. Step 6: Final answer
    x = 58,969.85

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