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Finding the Fourth Proportional to 36,507.83, 54,764.82 and 11,547.33

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Solution

The fourth proportional to 36,507.83, 54,764.82 and 11,547.33 is: 17,321.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,507.83 : 54,764.82 = 11,547.33 : x
  2. Step 2: Convert to fraction form
    36,507.83/54,764.82 = 11,547.33/x
  3. Step 3: Cross multiply
    36,507.83x = 54,764.82 × 11,547.33
  4. Step 4: Simplify right side
    36,507.83x = 632,387,448.93
  5. Step 5: Solve for x
    x = 632,387,448.93/36,507.83
  6. Step 6: Final answer
    x = 17,321.97

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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.