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Finding the Fourth Proportional to 37,468.74, 51,705.32 and 20,473.57

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Solution

The fourth proportional to 37,468.74, 51,705.32 and 20,473.57 is: 28,252.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,468.74 : 51,705.32 = 20,473.57 : x
  2. Step 2: Convert to fraction form
    37,468.74/51,705.32 = 20,473.57/x
  3. Step 3: Cross multiply
    37,468.74x = 51,705.32 × 20,473.57
  4. Step 4: Simplify right side
    37,468.74x = 1,058,592,229.87
  5. Step 5: Solve for x
    x = 1,058,592,229.87/37,468.74
  6. Step 6: Final answer
    x = 28,252.68

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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.