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Finding the Fourth Proportional to 53,228.71, 79,847.12 and 31,044.30

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Solution

The fourth proportional to 53,228.71, 79,847.12 and 31,044.30 is: 46,568.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,228.71 : 79,847.12 = 31,044.30 : x
  2. Step 2: Convert to fraction form
    53,228.71/79,847.12 = 31,044.30/x
  3. Step 3: Cross multiply
    53,228.71x = 79,847.12 × 31,044.30
  4. Step 4: Simplify right side
    53,228.71x = 2,478,797,947.42
  5. Step 5: Solve for x
    x = 2,478,797,947.42/53,228.71
  6. Step 6: Final answer
    x = 46,568.81

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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.