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Finding the Fourth Proportional to 82,277, 113,542.32 and 44,551.28

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Solution

The fourth proportional to 82,277, 113,542.32 and 44,551.28 is: 61,480.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,277 : 113,542.32 = 44,551.28 : x
  2. Step 2: Convert to fraction form
    82,277/113,542.32 = 44,551.28/x
  3. Step 3: Cross multiply
    82,277x = 113,542.32 × 44,551.28
  4. Step 4: Simplify right side
    82,277x = 5,058,455,690.17
  5. Step 5: Solve for x
    x = 5,058,455,690.17/82,277
  6. Step 6: Final answer
    x = 61,480.80

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.