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Finding the Fourth Proportional to 32,335.88, 48,472.70 and 10,133.78

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Solution

The fourth proportional to 32,335.88, 48,472.70 and 10,133.78 is: 15,190.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,335.88 : 48,472.70 = 10,133.78 : x
  2. Step 2: Convert to fraction form
    32,335.88/48,472.70 = 10,133.78/x
  3. Step 3: Cross multiply
    32,335.88x = 48,472.70 × 10,133.78
  4. Step 4: Simplify right side
    32,335.88x = 491,211,384.77
  5. Step 5: Solve for x
    x = 491,211,384.77/32,335.88
  6. Step 6: Final answer
    x = 15,190.91

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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.