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Finding the Fourth Proportional to 81,262.16, 121,878.24 and 36,878.24

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Solution

The fourth proportional to 81,262.16, 121,878.24 and 36,878.24 is: 55,310.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,262.16 : 121,878.24 = 36,878.24 : x
  2. Step 2: Convert to fraction form
    81,262.16/121,878.24 = 36,878.24/x
  3. Step 3: Cross multiply
    81,262.16x = 121,878.24 × 36,878.24
  4. Step 4: Simplify right side
    81,262.16x = 4,494,654,985.50
  5. Step 5: Solve for x
    x = 4,494,654,985.50/81,262.16
  6. Step 6: Final answer
    x = 55,310.55

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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.