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Finding the Fourth Proportional to 73,920.96, 102,028.68 and 42,097.68

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Solution

The fourth proportional to 73,920.96, 102,028.68 and 42,097.68 is: 58,104.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,920.96 : 102,028.68 = 42,097.68 : x
  2. Step 2: Convert to fraction form
    73,920.96/102,028.68 = 42,097.68/x
  3. Step 3: Cross multiply
    73,920.96x = 102,028.68 × 42,097.68
  4. Step 4: Simplify right side
    73,920.96x = 4,295,170,721.46
  5. Step 5: Solve for x
    x = 4,295,170,721.46/73,920.96
  6. Step 6: Final answer
    x = 58,104.91

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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.