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Finding the Fourth Proportional to 70,305.98, 97,022.23 and 38,474.87

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Solution

The fourth proportional to 70,305.98, 97,022.23 and 38,474.87 is: 53,095.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,305.98 : 97,022.23 = 38,474.87 : x
  2. Step 2: Convert to fraction form
    70,305.98/97,022.23 = 38,474.87/x
  3. Step 3: Cross multiply
    70,305.98x = 97,022.23 × 38,474.87
  4. Step 4: Simplify right side
    70,305.98x = 3,732,917,105.06
  5. Step 5: Solve for x
    x = 3,732,917,105.06/70,305.98
  6. Step 6: Final answer
    x = 53,095.30

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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.