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Finding the Fourth Proportional to 66,823.89, 100,235.80 and 26,842.87

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Solution

The fourth proportional to 66,823.89, 100,235.80 and 26,842.87 is: 40,264.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,823.89 : 100,235.80 = 26,842.87 : x
  2. Step 2: Convert to fraction form
    66,823.89/100,235.80 = 26,842.87/x
  3. Step 3: Cross multiply
    66,823.89x = 100,235.80 × 26,842.87
  4. Step 4: Simplify right side
    66,823.89x = 2,690,615,992.78
  5. Step 5: Solve for x
    x = 2,690,615,992.78/66,823.89
  6. Step 6: Final answer
    x = 40,264.28

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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.