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Finding the Fourth Proportional to 75,496.78, 113,162.13 and 31,099.32

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Solution

The fourth proportional to 75,496.78, 113,162.13 and 31,099.32 is: 46,614.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,496.78 : 113,162.13 = 31,099.32 : x
  2. Step 2: Convert to fraction form
    75,496.78/113,162.13 = 31,099.32/x
  3. Step 3: Cross multiply
    75,496.78x = 113,162.13 × 31,099.32
  4. Step 4: Simplify right side
    75,496.78x = 3,519,265,292.75
  5. Step 5: Solve for x
    x = 3,519,265,292.75/75,496.78
  6. Step 6: Final answer
    x = 46,614.77

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1.5x scale

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.