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Finding the Fourth Proportional to 32,022.64, 47,978.60 and 24,909.08

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Solution

The fourth proportional to 32,022.64, 47,978.60 and 24,909.08 is: 37,320.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,022.64 : 47,978.60 = 24,909.08 : x
  2. Step 2: Convert to fraction form
    32,022.64/47,978.60 = 24,909.08/x
  3. Step 3: Cross multiply
    32,022.64x = 47,978.60 × 24,909.08
  4. Step 4: Simplify right side
    32,022.64x = 1,195,102,781.09
  5. Step 5: Solve for x
    x = 1,195,102,781.09/32,022.64
  6. Step 6: Final answer
    x = 37,320.56

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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.