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Finding the Fourth Proportional to 29,921.92, 44,884.80 and 17,584

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Solution

The fourth proportional to 29,921.92, 44,884.80 and 17,584 is: 26,377.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,921.92 : 44,884.80 = 17,584 : x
  2. Step 2: Convert to fraction form
    29,921.92/44,884.80 = 17,584/x
  3. Step 3: Cross multiply
    29,921.92x = 44,884.80 × 17,584
  4. Step 4: Simplify right side
    29,921.92x = 789,254,323.20
  5. Step 5: Solve for x
    x = 789,254,323.20/29,921.92
  6. Step 6: Final answer
    x = 26,377.13

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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.