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Finding the Fourth Proportional to 78,342.69, 108,112.34 and 42,531.78

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Solution

The fourth proportional to 78,342.69, 108,112.34 and 42,531.78 is: 58,693.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,342.69 : 108,112.34 = 42,531.78 : x
  2. Step 2: Convert to fraction form
    78,342.69/108,112.34 = 42,531.78/x
  3. Step 3: Cross multiply
    78,342.69x = 108,112.34 × 42,531.78
  4. Step 4: Simplify right side
    78,342.69x = 4,598,210,532.67
  5. Step 5: Solve for x
    x = 4,598,210,532.67/78,342.69
  6. Step 6: Final answer
    x = 58,693.55

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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.