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Finding the Fourth Proportional to 40,894.08, 61,338.16 and 10,906

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Solution

The fourth proportional to 40,894.08, 61,338.16 and 10,906 is: 16,358.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,894.08 : 61,338.16 = 10,906 : x
  2. Step 2: Convert to fraction form
    40,894.08/61,338.16 = 10,906/x
  3. Step 3: Cross multiply
    40,894.08x = 61,338.16 × 10,906
  4. Step 4: Simplify right side
    40,894.08x = 668,953,972.96
  5. Step 5: Solve for x
    x = 668,953,972.96/40,894.08
  6. Step 6: Final answer
    x = 16,358.21

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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.