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Finding the Fourth Proportional to 83,292.42, 114,945.30 and 45,566.67

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Solution

The fourth proportional to 83,292.42, 114,945.30 and 45,566.67 is: 62,882.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,292.42 : 114,945.30 = 45,566.67 : x
  2. Step 2: Convert to fraction form
    83,292.42/114,945.30 = 45,566.67/x
  3. Step 3: Cross multiply
    83,292.42x = 114,945.30 × 45,566.67
  4. Step 4: Simplify right side
    83,292.42x = 5,237,674,553.15
  5. Step 5: Solve for x
    x = 5,237,674,553.15/83,292.42
  6. Step 6: Final answer
    x = 62,882.97

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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.