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Finding the Fourth Proportional to 51,562, 77,331.12 and 29,082.52

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Solution

The fourth proportional to 51,562, 77,331.12 and 29,082.52 is: 43,617.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,562 : 77,331.12 = 29,082.52 : x
  2. Step 2: Convert to fraction form
    51,562/77,331.12 = 29,082.52/x
  3. Step 3: Cross multiply
    51,562x = 77,331.12 × 29,082.52
  4. Step 4: Simplify right side
    51,562x = 2,248,983,844.02
  5. Step 5: Solve for x
    x = 2,248,983,844.02/51,562
  6. Step 6: Final answer
    x = 43,617.08

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Why These Related Problems?

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