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Finding the Fourth Proportional to 54,705.40, 82,058.10 and 47,793.40

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Solution

The fourth proportional to 54,705.40, 82,058.10 and 47,793.40 is: 71,690.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,705.40 : 82,058.10 = 47,793.40 : x
  2. Step 2: Convert to fraction form
    54,705.40/82,058.10 = 47,793.40/x
  3. Step 3: Cross multiply
    54,705.40x = 82,058.10 × 47,793.40
  4. Step 4: Simplify right side
    54,705.40x = 3,921,835,596.54
  5. Step 5: Solve for x
    x = 3,921,835,596.54/54,705.40
  6. Step 6: Final answer
    x = 71,690.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.