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Finding the Fourth Proportional to 37,586.34, 51,869.74 and 20,590.28

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Solution

The fourth proportional to 37,586.34, 51,869.74 and 20,590.28 is: 28,414.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,586.34 : 51,869.74 = 20,590.28 : x
  2. Step 2: Convert to fraction form
    37,586.34/51,869.74 = 20,590.28/x
  3. Step 3: Cross multiply
    37,586.34x = 51,869.74 × 20,590.28
  4. Step 4: Simplify right side
    37,586.34x = 1,068,012,470.13
  5. Step 5: Solve for x
    x = 1,068,012,470.13/37,586.34
  6. Step 6: Final answer
    x = 28,414.91

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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.