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Finding the Fourth Proportional to 32,678.33, 49,012.85 and 10,488.83

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Solution

The fourth proportional to 32,678.33, 49,012.85 and 10,488.83 is: 15,731.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,678.33 : 49,012.85 = 10,488.83 : x
  2. Step 2: Convert to fraction form
    32,678.33/49,012.85 = 10,488.83/x
  3. Step 3: Cross multiply
    32,678.33x = 49,012.85 × 10,488.83
  4. Step 4: Simplify right side
    32,678.33x = 514,087,153.96
  5. Step 5: Solve for x
    x = 514,087,153.96/32,678.33
  6. Step 6: Final answer
    x = 15,731.75

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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.