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Finding the Fourth Proportional to 83,794.69, 115,603.77 and 47,965.42

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Solution

The fourth proportional to 83,794.69, 115,603.77 and 47,965.42 is: 66,173.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,794.69 : 115,603.77 = 47,965.42 : x
  2. Step 2: Convert to fraction form
    83,794.69/115,603.77 = 47,965.42/x
  3. Step 3: Cross multiply
    83,794.69x = 115,603.77 × 47,965.42
  4. Step 4: Simplify right side
    83,794.69x = 5,544,983,381.63
  5. Step 5: Solve for x
    x = 5,544,983,381.63/83,794.69
  6. Step 6: Final answer
    x = 66,173.45

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1.5x scale

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.