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Finding the Fourth Proportional to 69,297.27, 103,864.41 and 31,302.19

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Solution

The fourth proportional to 69,297.27, 103,864.41 and 31,302.19 is: 46,916.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,297.27 : 103,864.41 = 31,302.19 : x
  2. Step 2: Convert to fraction form
    69,297.27/103,864.41 = 31,302.19/x
  3. Step 3: Cross multiply
    69,297.27x = 103,864.41 × 31,302.19
  4. Step 4: Simplify right side
    69,297.27x = 3,251,183,496.06
  5. Step 5: Solve for x
    x = 3,251,183,496.06/69,297.27
  6. Step 6: Final answer
    x = 46,916.47

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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.