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Finding the Fourth Proportional to 37,258.38, 51,416.58 and 20,491.38

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Solution

The fourth proportional to 37,258.38, 51,416.58 and 20,491.38 is: 28,278.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,258.38 : 51,416.58 = 20,491.38 : x
  2. Step 2: Convert to fraction form
    37,258.38/51,416.58 = 20,491.38/x
  3. Step 3: Cross multiply
    37,258.38x = 51,416.58 × 20,491.38
  4. Step 4: Simplify right side
    37,258.38x = 1,053,596,679.08
  5. Step 5: Solve for x
    x = 1,053,596,679.08/37,258.38
  6. Step 6: Final answer
    x = 28,278.11

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Why These Related Problems?

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