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Finding the Fourth Proportional to 83,433.70, 115,156.65 and 55,142.02

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Solution

The fourth proportional to 83,433.70, 115,156.65 and 55,142.02 is: 76,107.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,433.70 : 115,156.65 = 55,142.02 : x
  2. Step 2: Convert to fraction form
    83,433.70/115,156.65 = 55,142.02/x
  3. Step 3: Cross multiply
    83,433.70x = 115,156.65 × 55,142.02
  4. Step 4: Simplify right side
    83,433.70x = 6,349,970,297.43
  5. Step 5: Solve for x
    x = 6,349,970,297.43/83,433.70
  6. Step 6: Final answer
    x = 76,107.98

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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.