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Finding the Fourth Proportional to 31,720.44, 47,583.02 and 9,532.04

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Solution

The fourth proportional to 31,720.44, 47,583.02 and 9,532.04 is: 14,298.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,720.44 : 47,583.02 = 9,532.04 : x
  2. Step 2: Convert to fraction form
    31,720.44/47,583.02 = 9,532.04/x
  3. Step 3: Cross multiply
    31,720.44x = 47,583.02 × 9,532.04
  4. Step 4: Simplify right side
    31,720.44x = 453,563,249.96
  5. Step 5: Solve for x
    x = 453,563,249.96/31,720.44
  6. Step 6: Final answer
    x = 14,298.77

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.