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Finding the Fourth Proportional to 38,254.80, 52,782.96 and 23,147.10

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Solution

The fourth proportional to 38,254.80, 52,782.96 and 23,147.10 is: 31,937.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,254.80 : 52,782.96 = 23,147.10 : x
  2. Step 2: Convert to fraction form
    38,254.80/52,782.96 = 23,147.10/x
  3. Step 3: Cross multiply
    38,254.80x = 52,782.96 × 23,147.10
  4. Step 4: Simplify right side
    38,254.80x = 1,221,772,453.42
  5. Step 5: Solve for x
    x = 1,221,772,453.42/38,254.80
  6. Step 6: Final answer
    x = 31,937.76

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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.