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Finding the Fourth Proportional to 47,751.35, 65,904.98 and 27,620.47

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Solution

The fourth proportional to 47,751.35, 65,904.98 and 27,620.47 is: 38,120.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,751.35 : 65,904.98 = 27,620.47 : x
  2. Step 2: Convert to fraction form
    47,751.35/65,904.98 = 27,620.47/x
  3. Step 3: Cross multiply
    47,751.35x = 65,904.98 × 27,620.47
  4. Step 4: Simplify right side
    47,751.35x = 1,820,326,398.39
  5. Step 5: Solve for x
    x = 1,820,326,398.39/47,751.35
  6. Step 6: Final answer
    x = 38,120.94

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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.