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Finding the Fourth Proportional to 108,470.84, 162,689.54 and 29,591.48

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Solution

The fourth proportional to 108,470.84, 162,689.54 and 29,591.48 is: 44,382.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,470.84 : 162,689.54 = 29,591.48 : x
  2. Step 2: Convert to fraction form
    108,470.84/162,689.54 = 29,591.48/x
  3. Step 3: Cross multiply
    108,470.84x = 162,689.54 × 29,591.48
  4. Step 4: Simplify right side
    108,470.84x = 4,814,224,269.12
  5. Step 5: Solve for x
    x = 4,814,224,269.12/108,470.84
  6. Step 6: Final answer
    x = 44,382.66

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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.