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Finding the Fourth Proportional to 83,013.12, 114,523.20 and 57,877.20

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Solution

The fourth proportional to 83,013.12, 114,523.20 and 57,877.20 is: 79,846.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,013.12 : 114,523.20 = 57,877.20 : x
  2. Step 2: Convert to fraction form
    83,013.12/114,523.20 = 57,877.20/x
  3. Step 3: Cross multiply
    83,013.12x = 114,523.20 × 57,877.20
  4. Step 4: Simplify right side
    83,013.12x = 6,628,282,151.04
  5. Step 5: Solve for x
    x = 6,628,282,151.04/83,013.12
  6. Step 6: Final answer
    x = 79,846.20

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