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Finding the Fourth Proportional to 59,464.20, 89,209.44 and 20,020

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Solution

The fourth proportional to 59,464.20, 89,209.44 and 20,020 is: 30,034.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,464.20 : 89,209.44 = 20,020 : x
  2. Step 2: Convert to fraction form
    59,464.20/89,209.44 = 20,020/x
  3. Step 3: Cross multiply
    59,464.20x = 89,209.44 × 20,020
  4. Step 4: Simplify right side
    59,464.20x = 1,785,972,988.80
  5. Step 5: Solve for x
    x = 1,785,972,988.80/59,464.20
  6. Step 6: Final answer
    x = 30,034.42

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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.