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Finding the Fourth Proportional to 85,894.77, 118,535.76 and 47,655.03

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Solution

The fourth proportional to 85,894.77, 118,535.76 and 47,655.03 is: 65,764.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,894.77 : 118,535.76 = 47,655.03 : x
  2. Step 2: Convert to fraction form
    85,894.77/118,535.76 = 47,655.03/x
  3. Step 3: Cross multiply
    85,894.77x = 118,535.76 × 47,655.03
  4. Step 4: Simplify right side
    85,894.77x = 5,648,825,198.87
  5. Step 5: Solve for x
    x = 5,648,825,198.87/85,894.77
  6. Step 6: Final answer
    x = 65,764.48

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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.