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Finding the Fourth Proportional to 78,084.58, 107,757.58 and 42,275.36

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Solution

The fourth proportional to 78,084.58, 107,757.58 and 42,275.36 is: 58,340.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,084.58 : 107,757.58 = 42,275.36 : x
  2. Step 2: Convert to fraction form
    78,084.58/107,757.58 = 42,275.36/x
  3. Step 3: Cross multiply
    78,084.58x = 107,757.58 × 42,275.36
  4. Step 4: Simplify right side
    78,084.58x = 4,555,490,487.23
  5. Step 5: Solve for x
    x = 4,555,490,487.23/78,084.58
  6. Step 6: Final answer
    x = 58,340.46

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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.