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Finding the Fourth Proportional to 82,407.38, 113,722.79 and 44,681.63

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Solution

The fourth proportional to 82,407.38, 113,722.79 and 44,681.63 is: 61,660.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,407.38 : 113,722.79 = 44,681.63 : x
  2. Step 2: Convert to fraction form
    82,407.38/113,722.79 = 44,681.63/x
  3. Step 3: Cross multiply
    82,407.38x = 113,722.79 × 44,681.63
  4. Step 4: Simplify right side
    82,407.38x = 5,081,318,833.33
  5. Step 5: Solve for x
    x = 5,081,318,833.33/82,407.38
  6. Step 6: Final answer
    x = 61,660.97

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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.