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Finding the Fourth Proportional to 70,492.74, 105,671.19 and 26,107.38

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Solution

The fourth proportional to 70,492.74, 105,671.19 and 26,107.38 is: 39,135.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,492.74 : 105,671.19 = 26,107.38 : x
  2. Step 2: Convert to fraction form
    70,492.74/105,671.19 = 26,107.38/x
  3. Step 3: Cross multiply
    70,492.74x = 105,671.19 × 26,107.38
  4. Step 4: Simplify right side
    70,492.74x = 2,758,797,912.38
  5. Step 5: Solve for x
    x = 2,758,797,912.38/70,492.74
  6. Step 6: Final answer
    x = 39,135.92

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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.