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Finding the Fourth Proportional to 57,178.52, 85,769.46 and 48,805.74

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Solution

The fourth proportional to 57,178.52, 85,769.46 and 48,805.74 is: 73,210.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,178.52 : 85,769.46 = 48,805.74 : x
  2. Step 2: Convert to fraction form
    57,178.52/85,769.46 = 48,805.74/x
  3. Step 3: Cross multiply
    57,178.52x = 85,769.46 × 48,805.74
  4. Step 4: Simplify right side
    57,178.52x = 4,186,041,964.70
  5. Step 5: Solve for x
    x = 4,186,041,964.70/57,178.52
  6. Step 6: Final answer
    x = 73,210.04

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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.