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Finding the Fourth Proportional to 47,764.52, 65,909.80 and 27,618.35

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Solution

The fourth proportional to 47,764.52, 65,909.80 and 27,618.35 is: 38,110.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,764.52 : 65,909.80 = 27,618.35 : x
  2. Step 2: Convert to fraction form
    47,764.52/65,909.80 = 27,618.35/x
  3. Step 3: Cross multiply
    47,764.52x = 65,909.80 × 27,618.35
  4. Step 4: Simplify right side
    47,764.52x = 1,820,320,089.60
  5. Step 5: Solve for x
    x = 1,820,320,089.60/47,764.52
  6. Step 6: Final answer
    x = 38,110.30

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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.