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Finding the Fourth Proportional to 39,762.75, 54,814.77 and 27,788.91

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Solution

The fourth proportional to 39,762.75, 54,814.77 and 27,788.91 is: 38,308.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,762.75 : 54,814.77 = 27,788.91 : x
  2. Step 2: Convert to fraction form
    39,762.75/54,814.77 = 27,788.91/x
  3. Step 3: Cross multiply
    39,762.75x = 54,814.77 × 27,788.91
  4. Step 4: Simplify right side
    39,762.75x = 1,523,242,710.20
  5. Step 5: Solve for x
    x = 1,523,242,710.20/39,762.75
  6. Step 6: Final answer
    x = 38,308.28

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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.