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Finding the Fourth Proportional to 32,468.91, 48,664.18 and 15,803.97

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Solution

The fourth proportional to 32,468.91, 48,664.18 and 15,803.97 is: 23,686.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,468.91 : 48,664.18 = 15,803.97 : x
  2. Step 2: Convert to fraction form
    32,468.91/48,664.18 = 15,803.97/x
  3. Step 3: Cross multiply
    32,468.91x = 48,664.18 × 15,803.97
  4. Step 4: Simplify right side
    32,468.91x = 769,087,161.77
  5. Step 5: Solve for x
    x = 769,087,161.77/32,468.91
  6. Step 6: Final answer
    x = 23,686.88

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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.