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Finding the Fourth Proportional to 66,534.06, 91,806.54 and 38,234.28

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Solution

The fourth proportional to 66,534.06, 91,806.54 and 38,234.28 is: 52,757.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,534.06 : 91,806.54 = 38,234.28 : x
  2. Step 2: Convert to fraction form
    66,534.06/91,806.54 = 38,234.28/x
  3. Step 3: Cross multiply
    66,534.06x = 91,806.54 × 38,234.28
  4. Step 4: Simplify right side
    66,534.06x = 3,510,156,956.19
  5. Step 5: Solve for x
    x = 3,510,156,956.19/66,534.06
  6. Step 6: Final answer
    x = 52,757.29

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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.