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Finding the Fourth Proportional to 82,289.52, 123,631.20 and 52,765.20

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Solution

The fourth proportional to 82,289.52, 123,631.20 and 52,765.20 is: 79,274.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,289.52 : 123,631.20 = 52,765.20 : x
  2. Step 2: Convert to fraction form
    82,289.52/123,631.20 = 52,765.20/x
  3. Step 3: Cross multiply
    82,289.52x = 123,631.20 × 52,765.20
  4. Step 4: Simplify right side
    82,289.52x = 6,523,424,994.24
  5. Step 5: Solve for x
    x = 6,523,424,994.24/82,289.52
  6. Step 6: Final answer
    x = 79,274.07

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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.