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Finding the Fourth Proportional to 42,614.10, 63,921.83 and 17,648.15

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Solution

The fourth proportional to 42,614.10, 63,921.83 and 17,648.15 is: 26,472.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,614.10 : 63,921.83 = 17,648.15 : x
  2. Step 2: Convert to fraction form
    42,614.10/63,921.83 = 17,648.15/x
  3. Step 3: Cross multiply
    42,614.10x = 63,921.83 × 17,648.15
  4. Step 4: Simplify right side
    42,614.10x = 1,128,101,636.26
  5. Step 5: Solve for x
    x = 1,128,101,636.26/42,614.10
  6. Step 6: Final answer
    x = 26,472.50

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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.