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Finding the Fourth Proportional to 38,821.58, 53,568.42 and 22,685.01

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Solution

The fourth proportional to 38,821.58, 53,568.42 and 22,685.01 is: 31,302.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,821.58 : 53,568.42 = 22,685.01 : x
  2. Step 2: Convert to fraction form
    38,821.58/53,568.42 = 22,685.01/x
  3. Step 3: Cross multiply
    38,821.58x = 53,568.42 × 22,685.01
  4. Step 4: Simplify right side
    38,821.58x = 1,215,200,143.38
  5. Step 5: Solve for x
    x = 1,215,200,143.38/38,821.58
  6. Step 6: Final answer
    x = 31,302.19

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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.