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Finding the Fourth Proportional to 32,296.52, 48,451.80 and 13,565.87

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Solution

The fourth proportional to 32,296.52, 48,451.80 and 13,565.87 is: 20,351.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,296.52 : 48,451.80 = 13,565.87 : x
  2. Step 2: Convert to fraction form
    32,296.52/48,451.80 = 13,565.87/x
  3. Step 3: Cross multiply
    32,296.52x = 48,451.80 × 13,565.87
  4. Step 4: Simplify right side
    32,296.52x = 657,290,820.07
  5. Step 5: Solve for x
    x = 657,290,820.07/32,296.52
  6. Step 6: Final answer
    x = 20,351.75

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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.