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Finding the Fourth Proportional to 83,233, 114,868.50 and 47,424.52

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Solution

The fourth proportional to 83,233, 114,868.50 and 47,424.52 is: 65,449.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,233 : 114,868.50 = 47,424.52 : x
  2. Step 2: Convert to fraction form
    83,233/114,868.50 = 47,424.52/x
  3. Step 3: Cross multiply
    83,233x = 114,868.50 × 47,424.52
  4. Step 4: Simplify right side
    83,233x = 5,447,583,475.62
  5. Step 5: Solve for x
    x = 5,447,583,475.62/83,233
  6. Step 6: Final answer
    x = 65,449.80

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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.