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Finding the Fourth Proportional to 38,271.76, 52,816.20 and 23,167.20

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Solution

The fourth proportional to 38,271.76, 52,816.20 and 23,167.20 is: 31,971.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,271.76 : 52,816.20 = 23,167.20 : x
  2. Step 2: Convert to fraction form
    38,271.76/52,816.20 = 23,167.20/x
  3. Step 3: Cross multiply
    38,271.76x = 52,816.20 × 23,167.20
  4. Step 4: Simplify right side
    38,271.76x = 1,223,603,468.64
  5. Step 5: Solve for x
    x = 1,223,603,468.64/38,271.76
  6. Step 6: Final answer
    x = 31,971.44

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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.