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Finding the Fourth Proportional to 37,478, 51,719.78 and 20,711

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Solution

The fourth proportional to 37,478, 51,719.78 and 20,711 is: 28,581.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,478 : 51,719.78 = 20,711 : x
  2. Step 2: Convert to fraction form
    37,478/51,719.78 = 20,711/x
  3. Step 3: Cross multiply
    37,478x = 51,719.78 × 20,711
  4. Step 4: Simplify right side
    37,478x = 1,071,168,363.58
  5. Step 5: Solve for x
    x = 1,071,168,363.58/37,478
  6. Step 6: Final answer
    x = 28,581.26

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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.