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Finding the Fourth Proportional to 52,462.76, 78,677.10 and 17,393

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Solution

The fourth proportional to 52,462.76, 78,677.10 and 17,393 is: 26,083.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,462.76 : 78,677.10 = 17,393 : x
  2. Step 2: Convert to fraction form
    52,462.76/78,677.10 = 17,393/x
  3. Step 3: Cross multiply
    52,462.76x = 78,677.10 × 17,393
  4. Step 4: Simplify right side
    52,462.76x = 1,368,430,800.30
  5. Step 5: Solve for x
    x = 1,368,430,800.30/52,462.76
  6. Step 6: Final answer
    x = 26,083.85

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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.