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Finding the Fourth Proportional to 38,052.16, 52,515.25 and 22,135.50

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Solution

The fourth proportional to 38,052.16, 52,515.25 and 22,135.50 is: 30,548.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,052.16 : 52,515.25 = 22,135.50 : x
  2. Step 2: Convert to fraction form
    38,052.16/52,515.25 = 22,135.50/x
  3. Step 3: Cross multiply
    38,052.16x = 52,515.25 × 22,135.50
  4. Step 4: Simplify right side
    38,052.16x = 1,162,451,261.04
  5. Step 5: Solve for x
    x = 1,162,451,261.04/38,052.16
  6. Step 6: Final answer
    x = 30,548.89

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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.