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Finding the Fourth Proportional to 78,327, 108,090.72 and 42,517.98

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Solution

The fourth proportional to 78,327, 108,090.72 and 42,517.98 is: 58,674.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,327 : 108,090.72 = 42,517.98 : x
  2. Step 2: Convert to fraction form
    78,327/108,090.72 = 42,517.98/x
  3. Step 3: Cross multiply
    78,327x = 108,090.72 × 42,517.98
  4. Step 4: Simplify right side
    78,327x = 4,595,799,071.15
  5. Step 5: Solve for x
    x = 4,595,799,071.15/78,327
  6. Step 6: Final answer
    x = 58,674.52

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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.