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Finding the Fourth Proportional to 82,151, 113,368.38 and 44,425.25

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Solution

The fourth proportional to 82,151, 113,368.38 and 44,425.25 is: 61,306.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,151 : 113,368.38 = 44,425.25 : x
  2. Step 2: Convert to fraction form
    82,151/113,368.38 = 44,425.25/x
  3. Step 3: Cross multiply
    82,151x = 113,368.38 × 44,425.25
  4. Step 4: Simplify right side
    82,151x = 5,036,418,623.60
  5. Step 5: Solve for x
    x = 5,036,418,623.60/82,151
  6. Step 6: Final answer
    x = 61,306.85

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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.