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Finding the Fourth Proportional to 31,643.16, 47,464.28 and 9,456.04

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Solution

The fourth proportional to 31,643.16, 47,464.28 and 9,456.04 is: 14,183.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,643.16 : 47,464.28 = 9,456.04 : x
  2. Step 2: Convert to fraction form
    31,643.16/47,464.28 = 9,456.04/x
  3. Step 3: Cross multiply
    31,643.16x = 47,464.28 × 9,456.04
  4. Step 4: Simplify right side
    31,643.16x = 448,824,177.76
  5. Step 5: Solve for x
    x = 448,824,177.76/31,643.16
  6. Step 6: Final answer
    x = 14,183.93

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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.