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Finding the Fourth Proportional to 48,809.80, 73,214.70 and 19,211.46

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Solution

The fourth proportional to 48,809.80, 73,214.70 and 19,211.46 is: 28,817.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,809.80 : 73,214.70 = 19,211.46 : x
  2. Step 2: Convert to fraction form
    48,809.80/73,214.70 = 19,211.46/x
  3. Step 3: Cross multiply
    48,809.80x = 73,214.70 × 19,211.46
  4. Step 4: Simplify right side
    48,809.80x = 1,406,561,280.46
  5. Step 5: Solve for x
    x = 1,406,561,280.46/48,809.80
  6. Step 6: Final answer
    x = 28,817.19

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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.