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Finding the Fourth Proportional to 52,082.20, 78,111.10 and 14,645.87

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Solution

The fourth proportional to 52,082.20, 78,111.10 and 14,645.87 is: 21,965.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,082.20 : 78,111.10 = 14,645.87 : x
  2. Step 2: Convert to fraction form
    52,082.20/78,111.10 = 14,645.87/x
  3. Step 3: Cross multiply
    52,082.20x = 78,111.10 × 14,645.87
  4. Step 4: Simplify right side
    52,082.20x = 1,144,005,016.16
  5. Step 5: Solve for x
    x = 1,144,005,016.16/52,082.20
  6. Step 6: Final answer
    x = 21,965.37

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.