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Finding the Fourth Proportional to 38,615.82, 57,684.14 and 28,001.58

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Solution

The fourth proportional to 38,615.82, 57,684.14 and 28,001.58 is: 41,828.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,615.82 : 57,684.14 = 28,001.58 : x
  2. Step 2: Convert to fraction form
    38,615.82/57,684.14 = 28,001.58/x
  3. Step 3: Cross multiply
    38,615.82x = 57,684.14 × 28,001.58
  4. Step 4: Simplify right side
    38,615.82x = 1,615,246,920.93
  5. Step 5: Solve for x
    x = 1,615,246,920.93/38,615.82
  6. Step 6: Final answer
    x = 41,828.63

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.