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Finding the Fourth Proportional to 32,510.20, 48,766.98 and 10,325.31

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Solution

The fourth proportional to 32,510.20, 48,766.98 and 10,325.31 is: 15,488.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,510.20 : 48,766.98 = 10,325.31 : x
  2. Step 2: Convert to fraction form
    32,510.20/48,766.98 = 10,325.31/x
  3. Step 3: Cross multiply
    32,510.20x = 48,766.98 × 10,325.31
  4. Step 4: Simplify right side
    32,510.20x = 503,534,186.26
  5. Step 5: Solve for x
    x = 503,534,186.26/32,510.20
  6. Step 6: Final answer
    x = 15,488.50

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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.