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Finding the Fourth Proportional to 32,227.71, 48,292.13 and 13,497.50

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Solution

The fourth proportional to 32,227.71, 48,292.13 and 13,497.50 is: 20,225.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,227.71 : 48,292.13 = 13,497.50 : x
  2. Step 2: Convert to fraction form
    32,227.71/48,292.13 = 13,497.50/x
  3. Step 3: Cross multiply
    32,227.71x = 48,292.13 × 13,497.50
  4. Step 4: Simplify right side
    32,227.71x = 651,822,715.73
  5. Step 5: Solve for x
    x = 651,822,715.73/32,227.71
  6. Step 6: Final answer
    x = 20,225.54

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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.