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Finding the Fourth Proportional to 52,518.76, 78,761.14 and 17,449

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Solution

The fourth proportional to 52,518.76, 78,761.14 and 17,449 is: 26,167.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,518.76 : 78,761.14 = 17,449 : x
  2. Step 2: Convert to fraction form
    52,518.76/78,761.14 = 17,449/x
  3. Step 3: Cross multiply
    52,518.76x = 78,761.14 × 17,449
  4. Step 4: Simplify right side
    52,518.76x = 1,374,303,131.86
  5. Step 5: Solve for x
    x = 1,374,303,131.86/52,518.76
  6. Step 6: Final answer
    x = 26,167.85

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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.