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Finding the Fourth Proportional to 32,404.31, 48,567.64 and 21,164.99

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Solution

The fourth proportional to 32,404.31, 48,567.64 and 21,164.99 is: 31,722.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,404.31 : 48,567.64 = 21,164.99 : x
  2. Step 2: Convert to fraction form
    32,404.31/48,567.64 = 21,164.99/x
  3. Step 3: Cross multiply
    32,404.31x = 48,567.64 × 21,164.99
  4. Step 4: Simplify right side
    32,404.31x = 1,027,933,614.92
  5. Step 5: Solve for x
    x = 1,027,933,614.92/32,404.31
  6. Step 6: Final answer
    x = 31,722.13

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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.