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Finding the Fourth Proportional to 70,785.38, 97,686.42 and 38,956.70

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Solution

The fourth proportional to 70,785.38, 97,686.42 and 38,956.70 is: 53,761.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,785.38 : 97,686.42 = 38,956.70 : x
  2. Step 2: Convert to fraction form
    70,785.38/97,686.42 = 38,956.70/x
  3. Step 3: Cross multiply
    70,785.38x = 97,686.42 × 38,956.70
  4. Step 4: Simplify right side
    70,785.38x = 3,805,540,558.01
  5. Step 5: Solve for x
    x = 3,805,540,558.01/70,785.38
  6. Step 6: Final answer
    x = 53,761.67

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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.