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Finding the Fourth Proportional to 47,821.52, 65,992.74 and 26,600.32

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Solution

The fourth proportional to 47,821.52, 65,992.74 and 26,600.32 is: 36,707.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,821.52 : 65,992.74 = 26,600.32 : x
  2. Step 2: Convert to fraction form
    47,821.52/65,992.74 = 26,600.32/x
  3. Step 3: Cross multiply
    47,821.52x = 65,992.74 × 26,600.32
  4. Step 4: Simplify right side
    47,821.52x = 1,755,428,001.68
  5. Step 5: Solve for x
    x = 1,755,428,001.68/47,821.52
  6. Step 6: Final answer
    x = 36,707.91

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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.