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Finding the Fourth Proportional to 31,655.72, 47,491.98 and 9,469.16

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Solution

The fourth proportional to 31,655.72, 47,491.98 and 9,469.16 is: 14,206.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,655.72 : 47,491.98 = 9,469.16 : x
  2. Step 2: Convert to fraction form
    31,655.72/47,491.98 = 9,469.16/x
  3. Step 3: Cross multiply
    31,655.72x = 47,491.98 × 9,469.16
  4. Step 4: Simplify right side
    31,655.72x = 449,709,157.34
  5. Step 5: Solve for x
    x = 449,709,157.34/31,655.72
  6. Step 6: Final answer
    x = 14,206.25

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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.