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Finding the Fourth Proportional to 34,913.65, 48,209.87 and 32,381

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Solution

The fourth proportional to 34,913.65, 48,209.87 and 32,381 is: 44,712.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,913.65 : 48,209.87 = 32,381 : x
  2. Step 2: Convert to fraction form
    34,913.65/48,209.87 = 32,381/x
  3. Step 3: Cross multiply
    34,913.65x = 48,209.87 × 32,381
  4. Step 4: Simplify right side
    34,913.65x = 1,561,083,800.47
  5. Step 5: Solve for x
    x = 1,561,083,800.47/34,913.65
  6. Step 6: Final answer
    x = 44,712.71

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.