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Finding the Fourth Proportional to 82,592.10, 113,967.43 and 48,593.11

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Solution

The fourth proportional to 82,592.10, 113,967.43 and 48,593.11 is: 67,052.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,592.10 : 113,967.43 = 48,593.11 : x
  2. Step 2: Convert to fraction form
    82,592.10/113,967.43 = 48,593.11/x
  3. Step 3: Cross multiply
    82,592.10x = 113,967.43 × 48,593.11
  4. Step 4: Simplify right side
    82,592.10x = 5,538,031,862.41
  5. Step 5: Solve for x
    x = 5,538,031,862.41/82,592.10
  6. Step 6: Final answer
    x = 67,052.80

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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.