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Finding the Fourth Proportional to 57,152.80, 78,870.48 and 32,000.80

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Solution

The fourth proportional to 57,152.80, 78,870.48 and 32,000.80 is: 44,160.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,152.80 : 78,870.48 = 32,000.80 : x
  2. Step 2: Convert to fraction form
    57,152.80/78,870.48 = 32,000.80/x
  3. Step 3: Cross multiply
    57,152.80x = 78,870.48 × 32,000.80
  4. Step 4: Simplify right side
    57,152.80x = 2,523,918,456.38
  5. Step 5: Solve for x
    x = 2,523,918,456.38/57,152.80
  6. Step 6: Final answer
    x = 44,160.89

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.