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Finding the Fourth Proportional to 71,870.64, 107,812.68 and 24,469.86

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Solution

The fourth proportional to 71,870.64, 107,812.68 and 24,469.86 is: 36,707.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,870.64 : 107,812.68 = 24,469.86 : x
  2. Step 2: Convert to fraction form
    71,870.64/107,812.68 = 24,469.86/x
  3. Step 3: Cross multiply
    71,870.64x = 107,812.68 × 24,469.86
  4. Step 4: Simplify right side
    71,870.64x = 2,638,161,185.82
  5. Step 5: Solve for x
    x = 2,638,161,185.82/71,870.64
  6. Step 6: Final answer
    x = 36,707.08

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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.