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Finding the Fourth Proportional to 35,082.96, 48,414.53 and 19,975.63

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Solution

The fourth proportional to 35,082.96, 48,414.53 and 19,975.63 is: 27,566.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,082.96 : 48,414.53 = 19,975.63 : x
  2. Step 2: Convert to fraction form
    35,082.96/48,414.53 = 19,975.63/x
  3. Step 3: Cross multiply
    35,082.96x = 48,414.53 × 19,975.63
  4. Step 4: Simplify right side
    35,082.96x = 967,110,495.83
  5. Step 5: Solve for x
    x = 967,110,495.83/35,082.96
  6. Step 6: Final answer
    x = 27,566.39

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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.