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Finding the Fourth Proportional to 55,000.24, 82,505.13 and 17,565.64

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Solution

The fourth proportional to 55,000.24, 82,505.13 and 17,565.64 is: 26,349.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,000.24 : 82,505.13 = 17,565.64 : x
  2. Step 2: Convert to fraction form
    55,000.24/82,505.13 = 17,565.64/x
  3. Step 3: Cross multiply
    55,000.24x = 82,505.13 × 17,565.64
  4. Step 4: Simplify right side
    55,000.24x = 1,449,255,411.73
  5. Step 5: Solve for x
    x = 1,449,255,411.73/55,000.24
  6. Step 6: Final answer
    x = 26,349.98

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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.