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Finding the Fourth Proportional to 63,262.14, 87,298.32 and 34,966

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Solution

The fourth proportional to 63,262.14, 87,298.32 and 34,966 is: 48,251.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,262.14 : 87,298.32 = 34,966 : x
  2. Step 2: Convert to fraction form
    63,262.14/87,298.32 = 34,966/x
  3. Step 3: Cross multiply
    63,262.14x = 87,298.32 × 34,966
  4. Step 4: Simplify right side
    63,262.14x = 3,052,473,057.12
  5. Step 5: Solve for x
    x = 3,052,473,057.12/63,262.14
  6. Step 6: Final answer
    x = 48,251.18

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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.