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Finding the Fourth Proportional to 107,057.90, 160,524.61 and 40,503.24

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Solution

The fourth proportional to 107,057.90, 160,524.61 and 40,503.24 is: 60,731.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,057.90 : 160,524.61 = 40,503.24 : x
  2. Step 2: Convert to fraction form
    107,057.90/160,524.61 = 40,503.24/x
  3. Step 3: Cross multiply
    107,057.90x = 160,524.61 × 40,503.24
  4. Step 4: Simplify right side
    107,057.90x = 6,501,766,804.74
  5. Step 5: Solve for x
    x = 6,501,766,804.74/107,057.90
  6. Step 6: Final answer
    x = 60,731.31

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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.