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Finding the Fourth Proportional to 83,290.20, 114,939.54 and 45,564

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Solution

The fourth proportional to 83,290.20, 114,939.54 and 45,564 is: 62,877.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,290.20 : 114,939.54 = 45,564 : x
  2. Step 2: Convert to fraction form
    83,290.20/114,939.54 = 45,564/x
  3. Step 3: Cross multiply
    83,290.20x = 114,939.54 × 45,564
  4. Step 4: Simplify right side
    83,290.20x = 5,237,105,200.56
  5. Step 5: Solve for x
    x = 5,237,105,200.56/83,290.20
  6. Step 6: Final answer
    x = 62,877.81

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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.