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Finding the Fourth Proportional to 31,689.45, 47,532.33 and 9,503.25

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Solution

The fourth proportional to 31,689.45, 47,532.33 and 9,503.25 is: 14,254.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,689.45 : 47,532.33 = 9,503.25 : x
  2. Step 2: Convert to fraction form
    31,689.45/47,532.33 = 9,503.25/x
  3. Step 3: Cross multiply
    31,689.45x = 47,532.33 × 9,503.25
  4. Step 4: Simplify right side
    31,689.45x = 451,711,615.07
  5. Step 5: Solve for x
    x = 451,711,615.07/31,689.45
  6. Step 6: Final answer
    x = 14,254.32

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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.