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Finding the Fourth Proportional to 36,980.62, 55,474.00 and 12,020.13

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Solution

The fourth proportional to 36,980.62, 55,474.00 and 12,020.13 is: 18,031.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,980.62 : 55,474.00 = 12,020.13 : x
  2. Step 2: Convert to fraction form
    36,980.62/55,474.00 = 12,020.13/x
  3. Step 3: Cross multiply
    36,980.62x = 55,474.00 × 12,020.13
  4. Step 4: Simplify right side
    36,980.62x = 666,804,661.57
  5. Step 5: Solve for x
    x = 666,804,661.57/36,980.62
  6. Step 6: Final answer
    x = 18,031.19

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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.