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Finding the Fourth Proportional to 32,001.43, 48,012.67 and 15,141.68

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Solution

The fourth proportional to 32,001.43, 48,012.67 and 15,141.68 is: 22,717.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,001.43 : 48,012.67 = 15,141.68 : x
  2. Step 2: Convert to fraction form
    32,001.43/48,012.67 = 15,141.68/x
  3. Step 3: Cross multiply
    32,001.43x = 48,012.67 × 15,141.68
  4. Step 4: Simplify right side
    32,001.43x = 726,992,485.09
  5. Step 5: Solve for x
    x = 726,992,485.09/32,001.43
  6. Step 6: Final answer
    x = 22,717.50

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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.