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Finding the Fourth Proportional to 74,028.65, 102,156.82 and 42,191.39

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Solution

The fourth proportional to 74,028.65, 102,156.82 and 42,191.39 is: 58,222.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,028.65 : 102,156.82 = 42,191.39 : x
  2. Step 2: Convert to fraction form
    74,028.65/102,156.82 = 42,191.39/x
  3. Step 3: Cross multiply
    74,028.65x = 102,156.82 × 42,191.39
  4. Step 4: Simplify right side
    74,028.65x = 4,310,138,022.82
  5. Step 5: Solve for x
    x = 4,310,138,022.82/74,028.65
  6. Step 6: Final answer
    x = 58,222.57

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.