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Finding the Fourth Proportional to 36,681.70, 55,026.20 and 13,309.96

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Solution

The fourth proportional to 36,681.70, 55,026.20 and 13,309.96 is: 19,966.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,681.70 : 55,026.20 = 13,309.96 : x
  2. Step 2: Convert to fraction form
    36,681.70/55,026.20 = 13,309.96/x
  3. Step 3: Cross multiply
    36,681.70x = 55,026.20 × 13,309.96
  4. Step 4: Simplify right side
    36,681.70x = 732,396,316.84
  5. Step 5: Solve for x
    x = 732,396,316.84/36,681.70
  6. Step 6: Final answer
    x = 19,966.26

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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.