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Finding the Fourth Proportional to 75,341, 113,013.66 and 19,937

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Solution

The fourth proportional to 75,341, 113,013.66 and 19,937 is: 29,906.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,341 : 113,013.66 = 19,937 : x
  2. Step 2: Convert to fraction form
    75,341/113,013.66 = 19,937/x
  3. Step 3: Cross multiply
    75,341x = 113,013.66 × 19,937
  4. Step 4: Simplify right side
    75,341x = 2,253,153,339.42
  5. Step 5: Solve for x
    x = 2,253,153,339.42/75,341
  6. Step 6: Final answer
    x = 29,906.07

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.