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Finding the Fourth Proportional to 37,471.08, 51,708.06 and 20,703

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Solution

The fourth proportional to 37,471.08, 51,708.06 and 20,703 is: 28,569.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,471.08 : 51,708.06 = 20,703 : x
  2. Step 2: Convert to fraction form
    37,471.08/51,708.06 = 20,703/x
  3. Step 3: Cross multiply
    37,471.08x = 51,708.06 × 20,703
  4. Step 4: Simplify right side
    37,471.08x = 1,070,511,966.18
  5. Step 5: Solve for x
    x = 1,070,511,966.18/37,471.08
  6. Step 6: Final answer
    x = 28,569.02

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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.