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Finding the Fourth Proportional to 36,507.57, 54,747.98 and 17,781.99

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Solution

The fourth proportional to 36,507.57, 54,747.98 and 17,781.99 is: 26,666.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,507.57 : 54,747.98 = 17,781.99 : x
  2. Step 2: Convert to fraction form
    36,507.57/54,747.98 = 17,781.99/x
  3. Step 3: Cross multiply
    36,507.57x = 54,747.98 × 17,781.99
  4. Step 4: Simplify right side
    36,507.57x = 973,528,032.88
  5. Step 5: Solve for x
    x = 973,528,032.88/36,507.57
  6. Step 6: Final answer
    x = 26,666.47

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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.