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Finding the Fourth Proportional to 75,889.85, 113,904.75 and 38,476.14

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Solution

The fourth proportional to 75,889.85, 113,904.75 and 38,476.14 is: 57,749.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,889.85 : 113,904.75 = 38,476.14 : x
  2. Step 2: Convert to fraction form
    75,889.85/113,904.75 = 38,476.14/x
  3. Step 3: Cross multiply
    75,889.85x = 113,904.75 × 38,476.14
  4. Step 4: Simplify right side
    75,889.85x = 4,382,615,107.67
  5. Step 5: Solve for x
    x = 4,382,615,107.67/75,889.85
  6. Step 6: Final answer
    x = 57,749.69

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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.