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Finding the Fourth Proportional to 32,419.78, 48,491.43 and 19,909.06

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Solution

The fourth proportional to 32,419.78, 48,491.43 and 19,909.06 is: 29,778.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,419.78 : 48,491.43 = 19,909.06 : x
  2. Step 2: Convert to fraction form
    32,419.78/48,491.43 = 19,909.06/x
  3. Step 3: Cross multiply
    32,419.78x = 48,491.43 × 19,909.06
  4. Step 4: Simplify right side
    32,419.78x = 965,418,789.36
  5. Step 5: Solve for x
    x = 965,418,789.36/32,419.78
  6. Step 6: Final answer
    x = 29,778.70

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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.