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Finding the Fourth Proportional to 61,093.86, 84,195.45 and 47,643.90

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Solution

The fourth proportional to 61,093.86, 84,195.45 and 47,643.90 is: 65,659.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,093.86 : 84,195.45 = 47,643.90 : x
  2. Step 2: Convert to fraction form
    61,093.86/84,195.45 = 47,643.90/x
  3. Step 3: Cross multiply
    61,093.86x = 84,195.45 × 47,643.90
  4. Step 4: Simplify right side
    61,093.86x = 4,011,399,600.26
  5. Step 5: Solve for x
    x = 4,011,399,600.26/61,093.86
  6. Step 6: Final answer
    x = 65,659.62

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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.