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Finding the Fourth Proportional to 38,125.16, 52,616.46 and 21,993.20

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Solution

The fourth proportional to 38,125.16, 52,616.46 and 21,993.20 is: 30,352.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,125.16 : 52,616.46 = 21,993.20 : x
  2. Step 2: Convert to fraction form
    38,125.16/52,616.46 = 21,993.20/x
  3. Step 3: Cross multiply
    38,125.16x = 52,616.46 × 21,993.20
  4. Step 4: Simplify right side
    38,125.16x = 1,157,204,328.07
  5. Step 5: Solve for x
    x = 1,157,204,328.07/38,125.16
  6. Step 6: Final answer
    x = 30,352.77

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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.