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Finding the Fourth Proportional to 70,446.74, 105,683.95 and 26,073.87

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Solution

The fourth proportional to 70,446.74, 105,683.95 and 26,073.87 is: 39,115.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,446.74 : 105,683.95 = 26,073.87 : x
  2. Step 2: Convert to fraction form
    70,446.74/105,683.95 = 26,073.87/x
  3. Step 3: Cross multiply
    70,446.74x = 105,683.95 × 26,073.87
  4. Step 4: Simplify right side
    70,446.74x = 2,755,589,573.39
  5. Step 5: Solve for x
    x = 2,755,589,573.39/70,446.74
  6. Step 6: Final answer
    x = 39,115.93

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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.