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Finding the Fourth Proportional to 75,804.01, 113,732.24 and 25,919.24

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Solution

The fourth proportional to 75,804.01, 113,732.24 and 25,919.24 is: 38,887.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,804.01 : 113,732.24 = 25,919.24 : x
  2. Step 2: Convert to fraction form
    75,804.01/113,732.24 = 25,919.24/x
  3. Step 3: Cross multiply
    75,804.01x = 113,732.24 × 25,919.24
  4. Step 4: Simplify right side
    75,804.01x = 2,947,852,526.04
  5. Step 5: Solve for x
    x = 2,947,852,526.04/75,804.01
  6. Step 6: Final answer
    x = 38,887.82

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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.