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Finding the Fourth Proportional to 48,782, 73,184.08 and 20,703.08

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Solution

The fourth proportional to 48,782, 73,184.08 and 20,703.08 is: 31,059.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,782 : 73,184.08 = 20,703.08 : x
  2. Step 2: Convert to fraction form
    48,782/73,184.08 = 20,703.08/x
  3. Step 3: Cross multiply
    48,782x = 73,184.08 × 20,703.08
  4. Step 4: Simplify right side
    48,782x = 1,515,135,862.97
  5. Step 5: Solve for x
    x = 1,515,135,862.97/48,782
  6. Step 6: Final answer
    x = 31,059.32

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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.