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Finding the Fourth Proportional to 31,352.21, 47,032.72 and 9,167.25

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Solution

The fourth proportional to 31,352.21, 47,032.72 and 9,167.25 is: 13,752.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,352.21 : 47,032.72 = 9,167.25 : x
  2. Step 2: Convert to fraction form
    31,352.21/47,032.72 = 9,167.25/x
  3. Step 3: Cross multiply
    31,352.21x = 47,032.72 × 9,167.25
  4. Step 4: Simplify right side
    31,352.21x = 431,160,679.50
  5. Step 5: Solve for x
    x = 431,160,679.50/31,352.21
  6. Step 6: Final answer
    x = 13,752.16

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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.