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Finding the Fourth Proportional to 83,015.85, 114,527.20 and 54,342.53

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Solution

The fourth proportional to 83,015.85, 114,527.20 and 54,342.53 is: 74,969.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,015.85 : 114,527.20 = 54,342.53 : x
  2. Step 2: Convert to fraction form
    83,015.85/114,527.20 = 54,342.53/x
  3. Step 3: Cross multiply
    83,015.85x = 114,527.20 × 54,342.53
  4. Step 4: Simplify right side
    83,015.85x = 6,223,697,801.82
  5. Step 5: Solve for x
    x = 6,223,697,801.82/83,015.85
  6. Step 6: Final answer
    x = 74,969.99

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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.