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Finding the Fourth Proportional to 48,033.87, 72,019.95 and 19,973.44

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Solution

The fourth proportional to 48,033.87, 72,019.95 and 19,973.44 is: 29,947.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,033.87 : 72,019.95 = 19,973.44 : x
  2. Step 2: Convert to fraction form
    48,033.87/72,019.95 = 19,973.44/x
  3. Step 3: Cross multiply
    48,033.87x = 72,019.95 × 19,973.44
  4. Step 4: Simplify right side
    48,033.87x = 1,438,486,150.13
  5. Step 5: Solve for x
    x = 1,438,486,150.13/48,033.87
  6. Step 6: Final answer
    x = 29,947.33

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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.