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Finding the Fourth Proportional to 70,305.83, 97,021.67 and 38,474.65

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Solution

The fourth proportional to 70,305.83, 97,021.67 and 38,474.65 is: 53,094.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,305.83 : 97,021.67 = 38,474.65 : x
  2. Step 2: Convert to fraction form
    70,305.83/97,021.67 = 38,474.65/x
  3. Step 3: Cross multiply
    70,305.83x = 97,021.67 × 38,474.65
  4. Step 4: Simplify right side
    70,305.83x = 3,732,874,724.57
  5. Step 5: Solve for x
    x = 3,732,874,724.57/70,305.83
  6. Step 6: Final answer
    x = 53,094.81

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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.