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Finding the Fourth Proportional to 49,186.40, 73,808.40 and 18,024.80

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Solution

The fourth proportional to 49,186.40, 73,808.40 and 18,024.80 is: 27,047.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,186.40 : 73,808.40 = 18,024.80 : x
  2. Step 2: Convert to fraction form
    49,186.40/73,808.40 = 18,024.80/x
  3. Step 3: Cross multiply
    49,186.40x = 73,808.40 × 18,024.80
  4. Step 4: Simplify right side
    49,186.40x = 1,330,381,648.32
  5. Step 5: Solve for x
    x = 1,330,381,648.32/49,186.40
  6. Step 6: Final answer
    x = 27,047.75

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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.