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Finding the Fourth Proportional to 75,858.77, 113,808.32 and 25,938.78

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Solution

The fourth proportional to 75,858.77, 113,808.32 and 25,938.78 is: 38,915.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,858.77 : 113,808.32 = 25,938.78 : x
  2. Step 2: Convert to fraction form
    75,858.77/113,808.32 = 25,938.78/x
  3. Step 3: Cross multiply
    75,858.77x = 113,808.32 × 25,938.78
  4. Step 4: Simplify right side
    75,858.77x = 2,952,048,844.96
  5. Step 5: Solve for x
    x = 2,952,048,844.96/75,858.77
  6. Step 6: Final answer
    x = 38,915.07

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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.