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Finding the Fourth Proportional to 37,874.32, 52,269.54 and 20,881.57

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Solution

The fourth proportional to 37,874.32, 52,269.54 and 20,881.57 is: 28,818.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,874.32 : 52,269.54 = 20,881.57 : x
  2. Step 2: Convert to fraction form
    37,874.32/52,269.54 = 20,881.57/x
  3. Step 3: Cross multiply
    37,874.32x = 52,269.54 × 20,881.57
  4. Step 4: Simplify right side
    37,874.32x = 1,091,470,058.38
  5. Step 5: Solve for x
    x = 1,091,470,058.38/37,874.32
  6. Step 6: Final answer
    x = 28,818.21

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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.