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Finding the Fourth Proportional to 82,231.71, 113,478.53 and 45,933.66

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Solution

The fourth proportional to 82,231.71, 113,478.53 and 45,933.66 is: 63,387.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,231.71 : 113,478.53 = 45,933.66 : x
  2. Step 2: Convert to fraction form
    82,231.71/113,478.53 = 45,933.66/x
  3. Step 3: Cross multiply
    82,231.71x = 113,478.53 × 45,933.66
  4. Step 4: Simplify right side
    82,231.71x = 5,212,483,794.68
  5. Step 5: Solve for x
    x = 5,212,483,794.68/82,231.71
  6. Step 6: Final answer
    x = 63,387.76

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.