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Finding the Fourth Proportional to 82,596.86, 123,904.29 and 26,423.76

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Solution

The fourth proportional to 82,596.86, 123,904.29 and 26,423.76 is: 39,638.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,596.86 : 123,904.29 = 26,423.76 : x
  2. Step 2: Convert to fraction form
    82,596.86/123,904.29 = 26,423.76/x
  3. Step 3: Cross multiply
    82,596.86x = 123,904.29 × 26,423.76
  4. Step 4: Simplify right side
    82,596.86x = 3,274,017,785.66
  5. Step 5: Solve for x
    x = 3,274,017,785.66/82,596.86
  6. Step 6: Final answer
    x = 39,638.53

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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.