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Finding the Fourth Proportional to 37,874.70, 52,316.55 and 30,731.31

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Solution

The fourth proportional to 37,874.70, 52,316.55 and 30,731.31 is: 42,449.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,874.70 : 52,316.55 = 30,731.31 : x
  2. Step 2: Convert to fraction form
    37,874.70/52,316.55 = 30,731.31/x
  3. Step 3: Cross multiply
    37,874.70x = 52,316.55 × 30,731.31
  4. Step 4: Simplify right side
    37,874.70x = 1,607,756,116.18
  5. Step 5: Solve for x
    x = 1,607,756,116.18/37,874.70
  6. Step 6: Final answer
    x = 42,449.34

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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.