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Finding the Fourth Proportional to 69,967.84, 96,552.64 and 38,136

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Solution

The fourth proportional to 69,967.84, 96,552.64 and 38,136 is: 52,626.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,967.84 : 96,552.64 = 38,136 : x
  2. Step 2: Convert to fraction form
    69,967.84/96,552.64 = 38,136/x
  3. Step 3: Cross multiply
    69,967.84x = 96,552.64 × 38,136
  4. Step 4: Simplify right side
    69,967.84x = 3,682,131,479.04
  5. Step 5: Solve for x
    x = 3,682,131,479.04/69,967.84
  6. Step 6: Final answer
    x = 52,626.06

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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.