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Finding the Fourth Proportional to 108,702.32, 163,042.56 and 29,824.48

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Solution

The fourth proportional to 108,702.32, 163,042.56 and 29,824.48 is: 44,733.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,702.32 : 163,042.56 = 29,824.48 : x
  2. Step 2: Convert to fraction form
    108,702.32/163,042.56 = 29,824.48/x
  3. Step 3: Cross multiply
    108,702.32x = 163,042.56 × 29,824.48
  4. Step 4: Simplify right side
    108,702.32x = 4,862,659,569.87
  5. Step 5: Solve for x
    x = 4,862,659,569.87/108,702.32
  6. Step 6: Final answer
    x = 44,733.72

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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.