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Finding the Fourth Proportional to 31,077.60, 46,616.40 and 8,892.30

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Solution

The fourth proportional to 31,077.60, 46,616.40 and 8,892.30 is: 13,338.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,077.60 : 46,616.40 = 8,892.30 : x
  2. Step 2: Convert to fraction form
    31,077.60/46,616.40 = 8,892.30/x
  3. Step 3: Cross multiply
    31,077.60x = 46,616.40 × 8,892.30
  4. Step 4: Simplify right side
    31,077.60x = 414,527,013.72
  5. Step 5: Solve for x
    x = 414,527,013.72/31,077.60
  6. Step 6: Final answer
    x = 13,338.45

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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.