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Finding the Fourth Proportional to 83,272.56, 114,917.04 and 45,546

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Solution

The fourth proportional to 83,272.56, 114,917.04 and 45,546 is: 62,853.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,272.56 : 114,917.04 = 45,546 : x
  2. Step 2: Convert to fraction form
    83,272.56/114,917.04 = 45,546/x
  3. Step 3: Cross multiply
    83,272.56x = 114,917.04 × 45,546
  4. Step 4: Simplify right side
    83,272.56x = 5,234,011,503.84
  5. Step 5: Solve for x
    x = 5,234,011,503.84/83,272.56
  6. Step 6: Final answer
    x = 62,853.98

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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.