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Finding the Fourth Proportional to 48,297.80, 72,446.70 and 46,548.20

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Solution

The fourth proportional to 48,297.80, 72,446.70 and 46,548.20 is: 69,822.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,297.80 : 72,446.70 = 46,548.20 : x
  2. Step 2: Convert to fraction form
    48,297.80/72,446.70 = 46,548.20/x
  3. Step 3: Cross multiply
    48,297.80x = 72,446.70 × 46,548.20
  4. Step 4: Simplify right side
    48,297.80x = 3,372,263,480.94
  5. Step 5: Solve for x
    x = 3,372,263,480.94/48,297.80
  6. Step 6: Final answer
    x = 69,822.30

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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.