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Finding the Fourth Proportional to 70,677.48, 105,947.10 and 29,154.28

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Solution

The fourth proportional to 70,677.48, 105,947.10 and 29,154.28 is: 43,702.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,677.48 : 105,947.10 = 29,154.28 : x
  2. Step 2: Convert to fraction form
    70,677.48/105,947.10 = 29,154.28/x
  3. Step 3: Cross multiply
    70,677.48x = 105,947.10 × 29,154.28
  4. Step 4: Simplify right side
    70,677.48x = 3,088,811,418.59
  5. Step 5: Solve for x
    x = 3,088,811,418.59/70,677.48
  6. Step 6: Final answer
    x = 43,702.91

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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.