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Finding the Fourth Proportional to 36,681.50, 55,022.24 and 10,386.46

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Solution

The fourth proportional to 36,681.50, 55,022.24 and 10,386.46 is: 15,579.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,681.50 : 55,022.24 = 10,386.46 : x
  2. Step 2: Convert to fraction form
    36,681.50/55,022.24 = 10,386.46/x
  3. Step 3: Cross multiply
    36,681.50x = 55,022.24 × 10,386.46
  4. Step 4: Simplify right side
    36,681.50x = 571,486,294.87
  5. Step 5: Solve for x
    x = 571,486,294.87/36,681.50
  6. Step 6: Final answer
    x = 15,579.69

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.