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Finding the Fourth Proportional to 70,416.18, 105,624.34 and 17,825.66

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Solution

The fourth proportional to 70,416.18, 105,624.34 and 17,825.66 is: 26,738.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,416.18 : 105,624.34 = 17,825.66 : x
  2. Step 2: Convert to fraction form
    70,416.18/105,624.34 = 17,825.66/x
  3. Step 3: Cross multiply
    70,416.18x = 105,624.34 × 17,825.66
  4. Step 4: Simplify right side
    70,416.18x = 1,882,823,572.56
  5. Step 5: Solve for x
    x = 1,882,823,572.56/70,416.18
  6. Step 6: Final answer
    x = 26,738.51

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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.