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Finding the Fourth Proportional to 38,006.16, 52,448.34 and 21,239.16

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Solution

The fourth proportional to 38,006.16, 52,448.34 and 21,239.16 is: 29,309.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,006.16 : 52,448.34 = 21,239.16 : x
  2. Step 2: Convert to fraction form
    38,006.16/52,448.34 = 21,239.16/x
  3. Step 3: Cross multiply
    38,006.16x = 52,448.34 × 21,239.16
  4. Step 4: Simplify right side
    38,006.16x = 1,113,958,684.99
  5. Step 5: Solve for x
    x = 1,113,958,684.99/38,006.16
  6. Step 6: Final answer
    x = 29,309.95

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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.