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Finding the Fourth Proportional to 69,843.64, 96,384.03 and 38,012.56

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Solution

The fourth proportional to 69,843.64, 96,384.03 and 38,012.56 is: 52,457.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,843.64 : 96,384.03 = 38,012.56 : x
  2. Step 2: Convert to fraction form
    69,843.64/96,384.03 = 38,012.56/x
  3. Step 3: Cross multiply
    69,843.64x = 96,384.03 × 38,012.56
  4. Step 4: Simplify right side
    69,843.64x = 3,663,803,723.42
  5. Step 5: Solve for x
    x = 3,663,803,723.42/69,843.64
  6. Step 6: Final answer
    x = 52,457.23

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.