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Finding the Fourth Proportional to 107,082.50, 147,777.09 and 59,331.38

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Solution

The fourth proportional to 107,082.50, 147,777.09 and 59,331.38 is: 81,879.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,082.50 : 147,777.09 = 59,331.38 : x
  2. Step 2: Convert to fraction form
    107,082.50/147,777.09 = 59,331.38/x
  3. Step 3: Cross multiply
    107,082.50x = 147,777.09 × 59,331.38
  4. Step 4: Simplify right side
    107,082.50x = 8,767,818,682.08
  5. Step 5: Solve for x
    x = 8,767,818,682.08/107,082.50
  6. Step 6: Final answer
    x = 81,879.10

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.