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Finding the Fourth Proportional to 75,620.91, 113,448.45 and 25,019.82

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Solution

The fourth proportional to 75,620.91, 113,448.45 and 25,019.82 is: 37,535.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,620.91 : 113,448.45 = 25,019.82 : x
  2. Step 2: Convert to fraction form
    75,620.91/113,448.45 = 25,019.82/x
  3. Step 3: Cross multiply
    75,620.91x = 113,448.45 × 25,019.82
  4. Step 4: Simplify right side
    75,620.91x = 2,838,459,798.28
  5. Step 5: Solve for x
    x = 2,838,459,798.28/75,620.91
  6. Step 6: Final answer
    x = 37,535.38

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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.