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Finding the Fourth Proportional to 39,762.54, 54,814.38 and 27,788.66

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Solution

The fourth proportional to 39,762.54, 54,814.38 and 27,788.66 is: 38,307.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,762.54 : 54,814.38 = 27,788.66 : x
  2. Step 2: Convert to fraction form
    39,762.54/54,814.38 = 27,788.66/x
  3. Step 3: Cross multiply
    39,762.54x = 54,814.38 × 27,788.66
  4. Step 4: Simplify right side
    39,762.54x = 1,523,218,168.93
  5. Step 5: Solve for x
    x = 1,523,218,168.93/39,762.54
  6. Step 6: Final answer
    x = 38,307.87

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.