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Finding the Fourth Proportional to 83,041.62, 114,562.53 and 57,905.70

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Solution

The fourth proportional to 83,041.62, 114,562.53 and 57,905.70 is: 79,885.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,041.62 : 114,562.53 = 57,905.70 : x
  2. Step 2: Convert to fraction form
    83,041.62/114,562.53 = 57,905.70/x
  3. Step 3: Cross multiply
    83,041.62x = 114,562.53 × 57,905.70
  4. Step 4: Simplify right side
    83,041.62x = 6,633,823,493.42
  5. Step 5: Solve for x
    x = 6,633,823,493.42/83,041.62
  6. Step 6: Final answer
    x = 79,885.53

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.