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Finding the Fourth Proportional to 39,209.50, 54,116.40 and 22,442.50

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Solution

The fourth proportional to 39,209.50, 54,116.40 and 22,442.50 is: 30,974.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,209.50 : 54,116.40 = 22,442.50 : x
  2. Step 2: Convert to fraction form
    39,209.50/54,116.40 = 22,442.50/x
  3. Step 3: Cross multiply
    39,209.50x = 54,116.40 × 22,442.50
  4. Step 4: Simplify right side
    39,209.50x = 1,214,507,307
  5. Step 5: Solve for x
    x = 1,214,507,307/39,209.50
  6. Step 6: Final answer
    x = 30,974.82

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.