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Finding the Fourth Proportional to 31,744.69, 47,626.34 and 14,210.62

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Solution

The fourth proportional to 31,744.69, 47,626.34 and 14,210.62 is: 21,320.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,744.69 : 47,626.34 = 14,210.62 : x
  2. Step 2: Convert to fraction form
    31,744.69/47,626.34 = 14,210.62/x
  3. Step 3: Cross multiply
    31,744.69x = 47,626.34 × 14,210.62
  4. Step 4: Simplify right side
    31,744.69x = 676,799,819.73
  5. Step 5: Solve for x
    x = 676,799,819.73/31,744.69
  6. Step 6: Final answer
    x = 21,320.10

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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.