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Finding the Fourth Proportional to 55,497.76, 83,142.96 and 43,159.84

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Solution

The fourth proportional to 55,497.76, 83,142.96 and 43,159.84 is: 64,659.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,497.76 : 83,142.96 = 43,159.84 : x
  2. Step 2: Convert to fraction form
    55,497.76/83,142.96 = 43,159.84/x
  3. Step 3: Cross multiply
    55,497.76x = 83,142.96 × 43,159.84
  4. Step 4: Simplify right side
    55,497.76x = 3,588,436,850.73
  5. Step 5: Solve for x
    x = 3,588,436,850.73/55,497.76
  6. Step 6: Final answer
    x = 64,659.13

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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.