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Finding the Fourth Proportional to 32,882.66, 49,323.99 and 15,101.54

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Solution

The fourth proportional to 32,882.66, 49,323.99 and 15,101.54 is: 22,652.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,882.66 : 49,323.99 = 15,101.54 : x
  2. Step 2: Convert to fraction form
    32,882.66/49,323.99 = 15,101.54/x
  3. Step 3: Cross multiply
    32,882.66x = 49,323.99 × 15,101.54
  4. Step 4: Simplify right side
    32,882.66x = 744,868,117.97
  5. Step 5: Solve for x
    x = 744,868,117.97/32,882.66
  6. Step 6: Final answer
    x = 22,652.31

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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.