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Finding the Fourth Proportional to 32,473.31, 48,672.80 and 14,717.50

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Solution

The fourth proportional to 32,473.31, 48,672.80 and 14,717.50 is: 22,059.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,473.31 : 48,672.80 = 14,717.50 : x
  2. Step 2: Convert to fraction form
    32,473.31/48,672.80 = 14,717.50/x
  3. Step 3: Cross multiply
    32,473.31x = 48,672.80 × 14,717.50
  4. Step 4: Simplify right side
    32,473.31x = 716,341,793.92
  5. Step 5: Solve for x
    x = 716,341,793.92/32,473.31
  6. Step 6: Final answer
    x = 22,059.41

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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.