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Finding the Fourth Proportional to 82,597.86, 123,905.79 and 26,424.76

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Solution

The fourth proportional to 82,597.86, 123,905.79 and 26,424.76 is: 39,640.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,597.86 : 123,905.79 = 26,424.76 : x
  2. Step 2: Convert to fraction form
    82,597.86/123,905.79 = 26,424.76/x
  3. Step 3: Cross multiply
    82,597.86x = 123,905.79 × 26,424.76
  4. Step 4: Simplify right side
    82,597.86x = 3,274,180,763.36
  5. Step 5: Solve for x
    x = 3,274,180,763.36/82,597.86
  6. Step 6: Final answer
    x = 39,640.02

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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.