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Finding the Fourth Proportional to 38,600.67, 53,282.07 and 22,689.84

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Solution

The fourth proportional to 38,600.67, 53,282.07 and 22,689.84 is: 31,319.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,600.67 : 53,282.07 = 22,689.84 : x
  2. Step 2: Convert to fraction form
    38,600.67/53,282.07 = 22,689.84/x
  3. Step 3: Cross multiply
    38,600.67x = 53,282.07 × 22,689.84
  4. Step 4: Simplify right side
    38,600.67x = 1,208,961,643.17
  5. Step 5: Solve for x
    x = 1,208,961,643.17/38,600.67
  6. Step 6: Final answer
    x = 31,319.71

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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.