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Finding the Fourth Proportional to 108,264.32, 162,320.16 and 41,648.48

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Solution

The fourth proportional to 108,264.32, 162,320.16 and 41,648.48 is: 62,443.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,264.32 : 162,320.16 = 41,648.48 : x
  2. Step 2: Convert to fraction form
    108,264.32/162,320.16 = 41,648.48/x
  3. Step 3: Cross multiply
    108,264.32x = 162,320.16 × 41,648.48
  4. Step 4: Simplify right side
    108,264.32x = 6,760,387,937.36
  5. Step 5: Solve for x
    x = 6,760,387,937.36/108,264.32
  6. Step 6: Final answer
    x = 62,443.36

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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.