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Finding the Fourth Proportional to 64,312.52, 96,471.34 and 17,565.26

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Solution

The fourth proportional to 64,312.52, 96,471.34 and 17,565.26 is: 26,348.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,312.52 : 96,471.34 = 17,565.26 : x
  2. Step 2: Convert to fraction form
    64,312.52/96,471.34 = 17,565.26/x
  3. Step 3: Cross multiply
    64,312.52x = 96,471.34 × 17,565.26
  4. Step 4: Simplify right side
    64,312.52x = 1,694,543,643.38
  5. Step 5: Solve for x
    x = 1,694,543,643.38/64,312.52
  6. Step 6: Final answer
    x = 26,348.58

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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.