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Finding the Fourth Proportional to 69,281.64, 103,896.72 and 24,896.28

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Solution

The fourth proportional to 69,281.64, 103,896.72 and 24,896.28 is: 37,335.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,281.64 : 103,896.72 = 24,896.28 : x
  2. Step 2: Convert to fraction form
    69,281.64/103,896.72 = 24,896.28/x
  3. Step 3: Cross multiply
    69,281.64x = 103,896.72 × 24,896.28
  4. Step 4: Simplify right side
    69,281.64x = 2,586,641,832.20
  5. Step 5: Solve for x
    x = 2,586,641,832.20/69,281.64
  6. Step 6: Final answer
    x = 37,335.17

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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.