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Finding the Fourth Proportional to 48,643.40, 73,022.70 and 48,297.80

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Solution

The fourth proportional to 48,643.40, 73,022.70 and 48,297.80 is: 72,503.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,643.40 : 73,022.70 = 48,297.80 : x
  2. Step 2: Convert to fraction form
    48,643.40/73,022.70 = 48,297.80/x
  3. Step 3: Cross multiply
    48,643.40x = 73,022.70 × 48,297.80
  4. Step 4: Simplify right side
    48,643.40x = 3,526,835,760.06
  5. Step 5: Solve for x
    x = 3,526,835,760.06/48,643.40
  6. Step 6: Final answer
    x = 72,503.89

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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.