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Finding the Fourth Proportional to 83,633.42, 115,415.84 and 47,334.87

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Solution

The fourth proportional to 83,633.42, 115,415.84 and 47,334.87 is: 65,323.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,633.42 : 115,415.84 = 47,334.87 : x
  2. Step 2: Convert to fraction form
    83,633.42/115,415.84 = 47,334.87/x
  3. Step 3: Cross multiply
    83,633.42x = 115,415.84 × 47,334.87
  4. Step 4: Simplify right side
    83,633.42x = 5,463,193,771.66
  5. Step 5: Solve for x
    x = 5,463,193,771.66/83,633.42
  6. Step 6: Final answer
    x = 65,323.09

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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.