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Finding the Fourth Proportional to 35,012.78, 48,318.21 and 19,097.22

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Solution

The fourth proportional to 35,012.78, 48,318.21 and 19,097.22 is: 26,354.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,012.78 : 48,318.21 = 19,097.22 : x
  2. Step 2: Convert to fraction form
    35,012.78/48,318.21 = 19,097.22/x
  3. Step 3: Cross multiply
    35,012.78x = 48,318.21 × 19,097.22
  4. Step 4: Simplify right side
    35,012.78x = 922,743,486.38
  5. Step 5: Solve for x
    x = 922,743,486.38/35,012.78
  6. Step 6: Final answer
    x = 26,354.48

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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.