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Finding the Fourth Proportional to 37,258.31, 51,416.57 and 20,491.31

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Solution

The fourth proportional to 37,258.31, 51,416.57 and 20,491.31 is: 28,278.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,258.31 : 51,416.57 = 20,491.31 : x
  2. Step 2: Convert to fraction form
    37,258.31/51,416.57 = 20,491.31/x
  3. Step 3: Cross multiply
    37,258.31x = 51,416.57 × 20,491.31
  4. Step 4: Simplify right side
    37,258.31x = 1,053,593,054.78
  5. Step 5: Solve for x
    x = 1,053,593,054.78/37,258.31
  6. Step 6: Final answer
    x = 28,278.07

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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.