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Finding the Fourth Proportional to 40,065.10, 60,048.42 and 22,498

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Solution

The fourth proportional to 40,065.10, 60,048.42 and 22,498 is: 33,719.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,065.10 : 60,048.42 = 22,498 : x
  2. Step 2: Convert to fraction form
    40,065.10/60,048.42 = 22,498/x
  3. Step 3: Cross multiply
    40,065.10x = 60,048.42 × 22,498
  4. Step 4: Simplify right side
    40,065.10x = 1,350,969,353.16
  5. Step 5: Solve for x
    x = 1,350,969,353.16/40,065.10
  6. Step 6: Final answer
    x = 33,719.36

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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.