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Finding the Fourth Proportional to 52,118.74, 71,923.68 and 28,246

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Solution

The fourth proportional to 52,118.74, 71,923.68 and 28,246 is: 38,979.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,118.74 : 71,923.68 = 28,246 : x
  2. Step 2: Convert to fraction form
    52,118.74/71,923.68 = 28,246/x
  3. Step 3: Cross multiply
    52,118.74x = 71,923.68 × 28,246
  4. Step 4: Simplify right side
    52,118.74x = 2,031,556,265.28
  5. Step 5: Solve for x
    x = 2,031,556,265.28/52,118.74
  6. Step 6: Final answer
    x = 38,979.38

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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.