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Finding the Fourth Proportional to 84,586.80, 126,928.80 and 32,001.60

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Solution

The fourth proportional to 84,586.80, 126,928.80 and 32,001.60 is: 48,020.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,586.80 : 126,928.80 = 32,001.60 : x
  2. Step 2: Convert to fraction form
    84,586.80/126,928.80 = 32,001.60/x
  3. Step 3: Cross multiply
    84,586.80x = 126,928.80 × 32,001.60
  4. Step 4: Simplify right side
    84,586.80x = 4,061,924,686.08
  5. Step 5: Solve for x
    x = 4,061,924,686.08/84,586.80
  6. Step 6: Final answer
    x = 48,020.79

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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.