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Finding the Fourth Proportional to 36,507.94, 54,655.13 and 33,006

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Solution

The fourth proportional to 36,507.94, 54,655.13 and 33,006 is: 49,412.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,507.94 : 54,655.13 = 33,006 : x
  2. Step 2: Convert to fraction form
    36,507.94/54,655.13 = 33,006/x
  3. Step 3: Cross multiply
    36,507.94x = 54,655.13 × 33,006
  4. Step 4: Simplify right side
    36,507.94x = 1,803,947,220.78
  5. Step 5: Solve for x
    x = 1,803,947,220.78/36,507.94
  6. Step 6: Final answer
    x = 49,412.46

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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.