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Finding the Fourth Proportional to 39,342.80, 54,292.50 and 22,346.84

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Solution

The fourth proportional to 39,342.80, 54,292.50 and 22,346.84 is: 30,838.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,342.80 : 54,292.50 = 22,346.84 : x
  2. Step 2: Convert to fraction form
    39,342.80/54,292.50 = 22,346.84/x
  3. Step 3: Cross multiply
    39,342.80x = 54,292.50 × 22,346.84
  4. Step 4: Simplify right side
    39,342.80x = 1,213,265,810.70
  5. Step 5: Solve for x
    x = 1,213,265,810.70/39,342.80
  6. Step 6: Final answer
    x = 30,838.32

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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.