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Finding the Fourth Proportional to 89,468.64, 134,204.08 and 38,856

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Solution

The fourth proportional to 89,468.64, 134,204.08 and 38,856 is: 58,284.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,468.64 : 134,204.08 = 38,856 : x
  2. Step 2: Convert to fraction form
    89,468.64/134,204.08 = 38,856/x
  3. Step 3: Cross multiply
    89,468.64x = 134,204.08 × 38,856
  4. Step 4: Simplify right side
    89,468.64x = 5,214,633,732.48
  5. Step 5: Solve for x
    x = 5,214,633,732.48/89,468.64
  6. Step 6: Final answer
    x = 58,284.49

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.