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Finding the Fourth Proportional to 52,508, 78,785.20 and 27,542.08

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Solution

The fourth proportional to 52,508, 78,785.20 and 27,542.08 is: 41,325.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,508 : 78,785.20 = 27,542.08 : x
  2. Step 2: Convert to fraction form
    52,508/78,785.20 = 27,542.08/x
  3. Step 3: Cross multiply
    52,508x = 78,785.20 × 27,542.08
  4. Step 4: Simplify right side
    52,508x = 2,169,908,281.22
  5. Step 5: Solve for x
    x = 2,169,908,281.22/52,508
  6. Step 6: Final answer
    x = 41,325.29

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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.