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Finding the Fourth Proportional to 32,677.67, 49,011.86 and 10,488.17

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Solution

The fourth proportional to 32,677.67, 49,011.86 and 10,488.17 is: 15,730.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,677.67 : 49,011.86 = 10,488.17 : x
  2. Step 2: Convert to fraction form
    32,677.67/49,011.86 = 10,488.17/x
  3. Step 3: Cross multiply
    32,677.67x = 49,011.86 × 10,488.17
  4. Step 4: Simplify right side
    32,677.67x = 514,044,422.20
  5. Step 5: Solve for x
    x = 514,044,422.20/32,677.67
  6. Step 6: Final answer
    x = 15,730.76

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.