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Finding the Fourth Proportional to 75,878.52, 113,807.77 and 23,283.60

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Solution

The fourth proportional to 75,878.52, 113,807.77 and 23,283.60 is: 34,922.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,878.52 : 113,807.77 = 23,283.60 : x
  2. Step 2: Convert to fraction form
    75,878.52/113,807.77 = 23,283.60/x
  3. Step 3: Cross multiply
    75,878.52x = 113,807.77 × 23,283.60
  4. Step 4: Simplify right side
    75,878.52x = 2,649,854,593.57
  5. Step 5: Solve for x
    x = 2,649,854,593.57/75,878.52
  6. Step 6: Final answer
    x = 34,922.33

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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.