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Finding the Fourth Proportional to 83,231.08, 114,869.52 and 47,434

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Solution

The fourth proportional to 83,231.08, 114,869.52 and 47,434 is: 65,464.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,231.08 : 114,869.52 = 47,434 : x
  2. Step 2: Convert to fraction form
    83,231.08/114,869.52 = 47,434/x
  3. Step 3: Cross multiply
    83,231.08x = 114,869.52 × 47,434
  4. Step 4: Simplify right side
    83,231.08x = 5,448,720,811.68
  5. Step 5: Solve for x
    x = 5,448,720,811.68/83,231.08
  6. Step 6: Final answer
    x = 65,464.98

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