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Finding the Fourth Proportional to 65,062, 89,785.68 and 35,254

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Solution

The fourth proportional to 65,062, 89,785.68 and 35,254 is: 48,650.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,062 : 89,785.68 = 35,254 : x
  2. Step 2: Convert to fraction form
    65,062/89,785.68 = 35,254/x
  3. Step 3: Cross multiply
    65,062x = 89,785.68 × 35,254
  4. Step 4: Simplify right side
    65,062x = 3,165,304,362.72
  5. Step 5: Solve for x
    x = 3,165,304,362.72/65,062
  6. Step 6: Final answer
    x = 48,650.59

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.