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Finding the Fourth Proportional to 37,838.40, 52,217.36 and 20,842.71

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Solution

The fourth proportional to 37,838.40, 52,217.36 and 20,842.71 is: 28,763.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,838.40 : 52,217.36 = 20,842.71 : x
  2. Step 2: Convert to fraction form
    37,838.40/52,217.36 = 20,842.71/x
  3. Step 3: Cross multiply
    37,838.40x = 52,217.36 × 20,842.71
  4. Step 4: Simplify right side
    37,838.40x = 1,088,351,187.23
  5. Step 5: Solve for x
    x = 1,088,351,187.23/37,838.40
  6. Step 6: Final answer
    x = 28,763.14

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.