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Finding the Fourth Proportional to 38,985.86, 53,786.49 and 22,209.14

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Solution

The fourth proportional to 38,985.86, 53,786.49 and 22,209.14 is: 30,640.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,985.86 : 53,786.49 = 22,209.14 : x
  2. Step 2: Convert to fraction form
    38,985.86/53,786.49 = 22,209.14/x
  3. Step 3: Cross multiply
    38,985.86x = 53,786.49 × 22,209.14
  4. Step 4: Simplify right side
    38,985.86x = 1,194,551,686.52
  5. Step 5: Solve for x
    x = 1,194,551,686.52/38,985.86
  6. Step 6: Final answer
    x = 30,640.64

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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.