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Finding the Fourth Proportional to 85,909.74, 128,833.72 and 29,734.62

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Solution

The fourth proportional to 85,909.74, 128,833.72 and 29,734.62 is: 44,591.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,909.74 : 128,833.72 = 29,734.62 : x
  2. Step 2: Convert to fraction form
    85,909.74/128,833.72 = 29,734.62/x
  3. Step 3: Cross multiply
    85,909.74x = 128,833.72 × 29,734.62
  4. Step 4: Simplify right side
    85,909.74x = 3,830,821,317.18
  5. Step 5: Solve for x
    x = 3,830,821,317.18/85,909.74
  6. Step 6: Final answer
    x = 44,591.24

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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.