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Finding the Fourth Proportional to 52,117.57, 71,922.31 and 28,244.24

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Solution

The fourth proportional to 52,117.57, 71,922.31 and 28,244.24 is: 38,977.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,117.57 : 71,922.31 = 28,244.24 : x
  2. Step 2: Convert to fraction form
    52,117.57/71,922.31 = 28,244.24/x
  3. Step 3: Cross multiply
    52,117.57x = 71,922.31 × 28,244.24
  4. Step 4: Simplify right side
    52,117.57x = 2,031,391,094.19
  5. Step 5: Solve for x
    x = 2,031,391,094.19/52,117.57
  6. Step 6: Final answer
    x = 38,977.09

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.