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Finding the Fourth Proportional to 68,396.76, 102,590.01 and 24,023.90

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Solution

The fourth proportional to 68,396.76, 102,590.01 and 24,023.90 is: 36,034.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,396.76 : 102,590.01 = 24,023.90 : x
  2. Step 2: Convert to fraction form
    68,396.76/102,590.01 = 24,023.90/x
  3. Step 3: Cross multiply
    68,396.76x = 102,590.01 × 24,023.90
  4. Step 4: Simplify right side
    68,396.76x = 2,464,612,141.24
  5. Step 5: Solve for x
    x = 2,464,612,141.24/68,396.76
  6. Step 6: Final answer
    x = 36,034.05

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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.