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Finding the Fourth Proportional to 65,049, 89,767.62 and 35,241

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Solution

The fourth proportional to 65,049, 89,767.62 and 35,241 is: 48,632.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,049 : 89,767.62 = 35,241 : x
  2. Step 2: Convert to fraction form
    65,049/89,767.62 = 35,241/x
  3. Step 3: Cross multiply
    65,049x = 89,767.62 × 35,241
  4. Step 4: Simplify right side
    65,049x = 3,163,500,696.42
  5. Step 5: Solve for x
    x = 3,163,500,696.42/65,049
  6. Step 6: Final answer
    x = 48,632.58

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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.