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Finding the Fourth Proportional to 38,102.32, 52,534.74 and 28,000

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Solution

The fourth proportional to 38,102.32, 52,534.74 and 28,000 is: 38,605.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,102.32 : 52,534.74 = 28,000 : x
  2. Step 2: Convert to fraction form
    38,102.32/52,534.74 = 28,000/x
  3. Step 3: Cross multiply
    38,102.32x = 52,534.74 × 28,000
  4. Step 4: Simplify right side
    38,102.32x = 1,470,972,720
  5. Step 5: Solve for x
    x = 1,470,972,720/38,102.32
  6. Step 6: Final answer
    x = 38,605.86

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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.