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Finding the Fourth Proportional to 82,833.86, 124,199.94 and 40,660.40

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Solution

The fourth proportional to 82,833.86, 124,199.94 and 40,660.40 is: 60,965.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,833.86 : 124,199.94 = 40,660.40 : x
  2. Step 2: Convert to fraction form
    82,833.86/124,199.94 = 40,660.40/x
  3. Step 3: Cross multiply
    82,833.86x = 124,199.94 × 40,660.40
  4. Step 4: Simplify right side
    82,833.86x = 5,050,019,240.38
  5. Step 5: Solve for x
    x = 5,050,019,240.38/82,833.86
  6. Step 6: Final answer
    x = 60,965.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.