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Finding the Fourth Proportional to 31,443.60, 47,158.04 and 11,722.64

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Solution

The fourth proportional to 31,443.60, 47,158.04 and 11,722.64 is: 17,581.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,443.60 : 47,158.04 = 11,722.64 : x
  2. Step 2: Convert to fraction form
    31,443.60/47,158.04 = 11,722.64/x
  3. Step 3: Cross multiply
    31,443.60x = 47,158.04 × 11,722.64
  4. Step 4: Simplify right side
    31,443.60x = 552,816,726.03
  5. Step 5: Solve for x
    x = 552,816,726.03/31,443.60
  6. Step 6: Final answer
    x = 17,581.22

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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.