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Finding the Fourth Proportional to 74,082, 102,212.96 and 42,239.28

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Solution

The fourth proportional to 74,082, 102,212.96 and 42,239.28 is: 58,278.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,082 : 102,212.96 = 42,239.28 : x
  2. Step 2: Convert to fraction form
    74,082/102,212.96 = 42,239.28/x
  3. Step 3: Cross multiply
    74,082x = 102,212.96 × 42,239.28
  4. Step 4: Simplify right side
    74,082x = 4,317,401,837.07
  5. Step 5: Solve for x
    x = 4,317,401,837.07/74,082
  6. Step 6: Final answer
    x = 58,278.69

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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.