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Finding the Fourth Proportional to 70,510.26, 105,624.36 and 42,414.78

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Solution

The fourth proportional to 70,510.26, 105,624.36 and 42,414.78 is: 63,537.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,510.26 : 105,624.36 = 42,414.78 : x
  2. Step 2: Convert to fraction form
    70,510.26/105,624.36 = 42,414.78/x
  3. Step 3: Cross multiply
    70,510.26x = 105,624.36 × 42,414.78
  4. Step 4: Simplify right side
    70,510.26x = 4,480,033,992.04
  5. Step 5: Solve for x
    x = 4,480,033,992.04/70,510.26
  6. Step 6: Final answer
    x = 63,537.33

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.