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Finding the Fourth Proportional to 31,750.40, 47,615.88 and 21,952.64

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Solution

The fourth proportional to 31,750.40, 47,615.88 and 21,952.64 is: 32,922.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,750.40 : 47,615.88 = 21,952.64 : x
  2. Step 2: Convert to fraction form
    31,750.40/47,615.88 = 21,952.64/x
  3. Step 3: Cross multiply
    31,750.40x = 47,615.88 × 21,952.64
  4. Step 4: Simplify right side
    31,750.40x = 1,045,294,390.96
  5. Step 5: Solve for x
    x = 1,045,294,390.96/31,750.40
  6. Step 6: Final answer
    x = 32,922.24

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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.