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Finding the Fourth Proportional to 68,681.91, 103,023.14 and 24,308.67

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Solution

The fourth proportional to 68,681.91, 103,023.14 and 24,308.67 is: 36,463.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,681.91 : 103,023.14 = 24,308.67 : x
  2. Step 2: Convert to fraction form
    68,681.91/103,023.14 = 24,308.67/x
  3. Step 3: Cross multiply
    68,681.91x = 103,023.14 × 24,308.67
  4. Step 4: Simplify right side
    68,681.91x = 2,504,355,512.62
  5. Step 5: Solve for x
    x = 2,504,355,512.62/68,681.91
  6. Step 6: Final answer
    x = 36,463.10

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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.