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Finding the Fourth Proportional to 52,546.68, 78,839.73 and 31,501.71

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Solution

The fourth proportional to 52,546.68, 78,839.73 and 31,501.71 is: 47,264.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,546.68 : 78,839.73 = 31,501.71 : x
  2. Step 2: Convert to fraction form
    52,546.68/78,839.73 = 31,501.71/x
  3. Step 3: Cross multiply
    52,546.68x = 78,839.73 × 31,501.71
  4. Step 4: Simplify right side
    52,546.68x = 2,483,586,310.94
  5. Step 5: Solve for x
    x = 2,483,586,310.94/52,546.68
  6. Step 6: Final answer
    x = 47,264.38

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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.