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Finding the Fourth Proportional to 71,989.41, 107,986.65 and 19,400.16

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Solution

The fourth proportional to 71,989.41, 107,986.65 and 19,400.16 is: 29,100.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,989.41 : 107,986.65 = 19,400.16 : x
  2. Step 2: Convert to fraction form
    71,989.41/107,986.65 = 19,400.16/x
  3. Step 3: Cross multiply
    71,989.41x = 107,986.65 × 19,400.16
  4. Step 4: Simplify right side
    71,989.41x = 2,094,958,287.86
  5. Step 5: Solve for x
    x = 2,094,958,287.86/71,989.41
  6. Step 6: Final answer
    x = 29,100.92

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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.