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Finding the Fourth Proportional to 85,659.69, 118,206.66 and 47,416.98

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Solution

The fourth proportional to 85,659.69, 118,206.66 and 47,416.98 is: 65,433.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,659.69 : 118,206.66 = 47,416.98 : x
  2. Step 2: Convert to fraction form
    85,659.69/118,206.66 = 47,416.98/x
  3. Step 3: Cross multiply
    85,659.69x = 118,206.66 × 47,416.98
  4. Step 4: Simplify right side
    85,659.69x = 5,605,002,833.09
  5. Step 5: Solve for x
    x = 5,605,002,833.09/85,659.69
  6. Step 6: Final answer
    x = 65,433.38

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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.