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Finding the Fourth Proportional to 83,089.72, 114,499.02 and 59,174.20

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Solution

The fourth proportional to 83,089.72, 114,499.02 and 59,174.20 is: 81,543.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,089.72 : 114,499.02 = 59,174.20 : x
  2. Step 2: Convert to fraction form
    83,089.72/114,499.02 = 59,174.20/x
  3. Step 3: Cross multiply
    83,089.72x = 114,499.02 × 59,174.20
  4. Step 4: Simplify right side
    83,089.72x = 6,775,387,909.28
  5. Step 5: Solve for x
    x = 6,775,387,909.28/83,089.72
  6. Step 6: Final answer
    x = 81,543.03

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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.