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Finding the Fourth Proportional to 52,462.78, 78,671.02 and 15,014.33

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Solution

The fourth proportional to 52,462.78, 78,671.02 and 15,014.33 is: 22,514.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,462.78 : 78,671.02 = 15,014.33 : x
  2. Step 2: Convert to fraction form
    52,462.78/78,671.02 = 15,014.33/x
  3. Step 3: Cross multiply
    52,462.78x = 78,671.02 × 15,014.33
  4. Step 4: Simplify right side
    52,462.78x = 1,181,192,187.29
  5. Step 5: Solve for x
    x = 1,181,192,187.29/52,462.78
  6. Step 6: Final answer
    x = 22,514.86

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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.