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Finding the Fourth Proportional to 82,952.84, 124,350.43 and 52,882.67

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Solution

The fourth proportional to 82,952.84, 124,350.43 and 52,882.67 is: 79,273.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,952.84 : 124,350.43 = 52,882.67 : x
  2. Step 2: Convert to fraction form
    82,952.84/124,350.43 = 52,882.67/x
  3. Step 3: Cross multiply
    82,952.84x = 124,350.43 × 52,882.67
  4. Step 4: Simplify right side
    82,952.84x = 6,575,983,064.92
  5. Step 5: Solve for x
    x = 6,575,983,064.92/82,952.84
  6. Step 6: Final answer
    x = 79,273.75

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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.