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Finding the Fourth Proportional to 70,214.80, 105,318.96 and 17,623.12

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Solution

The fourth proportional to 70,214.80, 105,318.96 and 17,623.12 is: 26,433.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,214.80 : 105,318.96 = 17,623.12 : x
  2. Step 2: Convert to fraction form
    70,214.80/105,318.96 = 17,623.12/x
  3. Step 3: Cross multiply
    70,214.80x = 105,318.96 × 17,623.12
  4. Step 4: Simplify right side
    70,214.80x = 1,856,048,670.36
  5. Step 5: Solve for x
    x = 1,856,048,670.36/70,214.80
  6. Step 6: Final answer
    x = 26,433.87

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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.