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Finding the Fourth Proportional to 32,471.78, 48,707.67 and 14,956.34

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Solution

The fourth proportional to 32,471.78, 48,707.67 and 14,956.34 is: 22,434.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,471.78 : 48,707.67 = 14,956.34 : x
  2. Step 2: Convert to fraction form
    32,471.78/48,707.67 = 14,956.34/x
  3. Step 3: Cross multiply
    32,471.78x = 48,707.67 × 14,956.34
  4. Step 4: Simplify right side
    32,471.78x = 728,488,473.13
  5. Step 5: Solve for x
    x = 728,488,473.13/32,471.78
  6. Step 6: Final answer
    x = 22,434.51

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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.