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Finding the Fourth Proportional to 71,372.24, 107,055.12 and 29,816

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Solution

The fourth proportional to 71,372.24, 107,055.12 and 29,816 is: 44,722.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,372.24 : 107,055.12 = 29,816 : x
  2. Step 2: Convert to fraction form
    71,372.24/107,055.12 = 29,816/x
  3. Step 3: Cross multiply
    71,372.24x = 107,055.12 × 29,816
  4. Step 4: Simplify right side
    71,372.24x = 3,191,955,457.92
  5. Step 5: Solve for x
    x = 3,191,955,457.92/71,372.24
  6. Step 6: Final answer
    x = 44,722.65

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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.