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Finding the Fourth Proportional to 82,107, 113,307.80 and 44,381.25

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Solution

The fourth proportional to 82,107, 113,307.80 and 44,381.25 is: 61,246.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,107 : 113,307.80 = 44,381.25 : x
  2. Step 2: Convert to fraction form
    82,107/113,307.80 = 44,381.25/x
  3. Step 3: Cross multiply
    82,107x = 113,307.80 × 44,381.25
  4. Step 4: Simplify right side
    82,107x = 5,028,741,576.84
  5. Step 5: Solve for x
    x = 5,028,741,576.84/82,107
  6. Step 6: Final answer
    x = 61,246.20

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1.5x scale

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.