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Finding the Fourth Proportional to 32,447.79, 48,642.76 and 17,462.96

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Solution

The fourth proportional to 32,447.79, 48,642.76 and 17,462.96 is: 26,178.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,447.79 : 48,642.76 = 17,462.96 : x
  2. Step 2: Convert to fraction form
    32,447.79/48,642.76 = 17,462.96/x
  3. Step 3: Cross multiply
    32,447.79x = 48,642.76 × 17,462.96
  4. Step 4: Simplify right side
    32,447.79x = 849,446,285.30
  5. Step 5: Solve for x
    x = 849,446,285.30/32,447.79
  6. Step 6: Final answer
    x = 26,178.86

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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.