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Finding the Fourth Proportional to 39,952.48, 55,134.38 and 22,047.48

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Solution

The fourth proportional to 39,952.48, 55,134.38 and 22,047.48 is: 30,425.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,952.48 : 55,134.38 = 22,047.48 : x
  2. Step 2: Convert to fraction form
    39,952.48/55,134.38 = 22,047.48/x
  3. Step 3: Cross multiply
    39,952.48x = 55,134.38 × 22,047.48
  4. Step 4: Simplify right side
    39,952.48x = 1,215,574,140.36
  5. Step 5: Solve for x
    x = 1,215,574,140.36/39,952.48
  6. Step 6: Final answer
    x = 30,425.50

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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.