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Finding the Fourth Proportional to 31,652.16, 47,469.93 and 9,460.29

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Solution

The fourth proportional to 31,652.16, 47,469.93 and 9,460.29 is: 14,187.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,652.16 : 47,469.93 = 9,460.29 : x
  2. Step 2: Convert to fraction form
    31,652.16/47,469.93 = 9,460.29/x
  3. Step 3: Cross multiply
    31,652.16x = 47,469.93 × 9,460.29
  4. Step 4: Simplify right side
    31,652.16x = 449,079,304.08
  5. Step 5: Solve for x
    x = 449,079,304.08/31,652.16
  6. Step 6: Final answer
    x = 14,187.95

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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.