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Finding the Fourth Proportional to 39,762.41, 54,814.21 and 27,788.54

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Solution

The fourth proportional to 39,762.41, 54,814.21 and 27,788.54 is: 38,307.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,762.41 : 54,814.21 = 27,788.54 : x
  2. Step 2: Convert to fraction form
    39,762.41/54,814.21 = 27,788.54/x
  3. Step 3: Cross multiply
    39,762.41x = 54,814.21 × 27,788.54
  4. Step 4: Simplify right side
    39,762.41x = 1,523,206,523.61
  5. Step 5: Solve for x
    x = 1,523,206,523.61/39,762.41
  6. Step 6: Final answer
    x = 38,307.71

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1.5x scale

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.