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Finding the Fourth Proportional to 38,382.36, 57,572.16 and 13,422.36

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Solution

The fourth proportional to 38,382.36, 57,572.16 and 13,422.36 is: 20,133.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,382.36 : 57,572.16 = 13,422.36 : x
  2. Step 2: Convert to fraction form
    38,382.36/57,572.16 = 13,422.36/x
  3. Step 3: Cross multiply
    38,382.36x = 57,572.16 × 13,422.36
  4. Step 4: Simplify right side
    38,382.36x = 772,754,257.50
  5. Step 5: Solve for x
    x = 772,754,257.50/38,382.36
  6. Step 6: Final answer
    x = 20,133.06

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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.