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Finding the Fourth Proportional to 107,104.53, 160,487.81 and 39,543.66

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Solution

The fourth proportional to 107,104.53, 160,487.81 and 39,543.66 is: 59,253.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,104.53 : 160,487.81 = 39,543.66 : x
  2. Step 2: Convert to fraction form
    107,104.53/160,487.81 = 39,543.66/x
  3. Step 3: Cross multiply
    107,104.53x = 160,487.81 × 39,543.66
  4. Step 4: Simplify right side
    107,104.53x = 6,346,274,590.35
  5. Step 5: Solve for x
    x = 6,346,274,590.35/107,104.53
  6. Step 6: Final answer
    x = 59,253.09

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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.