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Finding the Fourth Proportional to 70,838.74, 106,245.78 and 26,465.86

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Solution

The fourth proportional to 70,838.74, 106,245.78 and 26,465.86 is: 39,694.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,838.74 : 106,245.78 = 26,465.86 : x
  2. Step 2: Convert to fraction form
    70,838.74/106,245.78 = 26,465.86/x
  3. Step 3: Cross multiply
    70,838.74x = 106,245.78 × 26,465.86
  4. Step 4: Simplify right side
    70,838.74x = 2,811,885,939.07
  5. Step 5: Solve for x
    x = 2,811,885,939.07/70,838.74
  6. Step 6: Final answer
    x = 39,694.18

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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.