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Finding the Fourth Proportional to 83,349, 115,022.16 and 47,538.63

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Solution

The fourth proportional to 83,349, 115,022.16 and 47,538.63 is: 65,603.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,349 : 115,022.16 = 47,538.63 : x
  2. Step 2: Convert to fraction form
    83,349/115,022.16 = 47,538.63/x
  3. Step 3: Cross multiply
    83,349x = 115,022.16 × 47,538.63
  4. Step 4: Simplify right side
    83,349x = 5,467,995,906.04
  5. Step 5: Solve for x
    x = 5,467,995,906.04/83,349
  6. Step 6: Final answer
    x = 65,603.62

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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.