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Finding the Fourth Proportional to 114,538.80, 171,808.20 and 31,432.80

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Solution

The fourth proportional to 114,538.80, 171,808.20 and 31,432.80 is: 47,149.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,538.80 : 171,808.20 = 31,432.80 : x
  2. Step 2: Convert to fraction form
    114,538.80/171,808.20 = 31,432.80/x
  3. Step 3: Cross multiply
    114,538.80x = 171,808.20 × 31,432.80
  4. Step 4: Simplify right side
    114,538.80x = 5,400,412,788.96
  5. Step 5: Solve for x
    x = 5,400,412,788.96/114,538.80
  6. Step 6: Final answer
    x = 47,149.20

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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.