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Finding the Fourth Proportional to 37,110.20, 55,665.30 and 10,817

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Solution

The fourth proportional to 37,110.20, 55,665.30 and 10,817 is: 16,225.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,110.20 : 55,665.30 = 10,817 : x
  2. Step 2: Convert to fraction form
    37,110.20/55,665.30 = 10,817/x
  3. Step 3: Cross multiply
    37,110.20x = 55,665.30 × 10,817
  4. Step 4: Simplify right side
    37,110.20x = 602,131,550.10
  5. Step 5: Solve for x
    x = 602,131,550.10/37,110.20
  6. Step 6: Final answer
    x = 16,225.50

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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.