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Finding the Fourth Proportional to 47,513.80, 71,238.30 and 22,565.80

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Solution

The fourth proportional to 47,513.80, 71,238.30 and 22,565.80 is: 33,833.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,513.80 : 71,238.30 = 22,565.80 : x
  2. Step 2: Convert to fraction form
    47,513.80/71,238.30 = 22,565.80/x
  3. Step 3: Cross multiply
    47,513.80x = 71,238.30 × 22,565.80
  4. Step 4: Simplify right side
    47,513.80x = 1,607,549,230.14
  5. Step 5: Solve for x
    x = 1,607,549,230.14/47,513.80
  6. Step 6: Final answer
    x = 33,833.31

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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.