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Finding the Fourth Proportional to 48,851.40, 73,287.90 and 22,549.80

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Solution

The fourth proportional to 48,851.40, 73,287.90 and 22,549.80 is: 33,829.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,851.40 : 73,287.90 = 22,549.80 : x
  2. Step 2: Convert to fraction form
    48,851.40/73,287.90 = 22,549.80/x
  3. Step 3: Cross multiply
    48,851.40x = 73,287.90 × 22,549.80
  4. Step 4: Simplify right side
    48,851.40x = 1,652,627,487.42
  5. Step 5: Solve for x
    x = 1,652,627,487.42/48,851.40
  6. Step 6: Final answer
    x = 33,829.69

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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.