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Finding the Fourth Proportional to 70,705.38, 106,058.10 and 20,785.48

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Solution

The fourth proportional to 70,705.38, 106,058.10 and 20,785.48 is: 31,178.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,705.38 : 106,058.10 = 20,785.48 : x
  2. Step 2: Convert to fraction form
    70,705.38/106,058.10 = 20,785.48/x
  3. Step 3: Cross multiply
    70,705.38x = 106,058.10 × 20,785.48
  4. Step 4: Simplify right side
    70,705.38x = 2,204,468,516.39
  5. Step 5: Solve for x
    x = 2,204,468,516.39/70,705.38
  6. Step 6: Final answer
    x = 31,178.23

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1.5x scale

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.