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Finding the Fourth Proportional to 70,409, 97,149.30 and 41,737.70

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Solution

The fourth proportional to 70,409, 97,149.30 and 41,737.70 is: 57,589.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,409 : 97,149.30 = 41,737.70 : x
  2. Step 2: Convert to fraction form
    70,409/97,149.30 = 41,737.70/x
  3. Step 3: Cross multiply
    70,409x = 97,149.30 × 41,737.70
  4. Step 4: Simplify right side
    70,409x = 4,054,788,338.61
  5. Step 5: Solve for x
    x = 4,054,788,338.61/70,409
  6. Step 6: Final answer
    x = 57,589.06

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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.