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Finding the Fourth Proportional to 75,411.91, 113,114.31 and 25,494

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Solution

The fourth proportional to 75,411.91, 113,114.31 and 25,494 is: 38,239.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,411.91 : 113,114.31 = 25,494 : x
  2. Step 2: Convert to fraction form
    75,411.91/113,114.31 = 25,494/x
  3. Step 3: Cross multiply
    75,411.91x = 113,114.31 × 25,494
  4. Step 4: Simplify right side
    75,411.91x = 2,883,736,219.14
  5. Step 5: Solve for x
    x = 2,883,736,219.14/75,411.91
  6. Step 6: Final answer
    x = 38,239.80

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Why These Related Problems?

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