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Finding the Fourth Proportional to 39,880.92, 59,830.78 and 22,362.84

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Solution

The fourth proportional to 39,880.92, 59,830.78 and 22,362.84 is: 33,549.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,880.92 : 59,830.78 = 22,362.84 : x
  2. Step 2: Convert to fraction form
    39,880.92/59,830.78 = 22,362.84/x
  3. Step 3: Cross multiply
    39,880.92x = 59,830.78 × 22,362.84
  4. Step 4: Simplify right side
    39,880.92x = 1,337,986,160.22
  5. Step 5: Solve for x
    x = 1,337,986,160.22/39,880.92
  6. Step 6: Final answer
    x = 33,549.53

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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.