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Finding the Fourth Proportional to 75,874.72, 113,807.80 and 23,284.08

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Solution

The fourth proportional to 75,874.72, 113,807.80 and 23,284.08 is: 34,924.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,874.72 : 113,807.80 = 23,284.08 : x
  2. Step 2: Convert to fraction form
    75,874.72/113,807.80 = 23,284.08/x
  3. Step 3: Cross multiply
    75,874.72x = 113,807.80 × 23,284.08
  4. Step 4: Simplify right side
    75,874.72x = 2,649,909,919.82
  5. Step 5: Solve for x
    x = 2,649,909,919.82/75,874.72
  6. Step 6: Final answer
    x = 34,924.81

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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.