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Finding the Fourth Proportional to 83,190.52, 114,814.80 and 47,383.86

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Solution

The fourth proportional to 83,190.52, 114,814.80 and 47,383.86 is: 65,396.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,190.52 : 114,814.80 = 47,383.86 : x
  2. Step 2: Convert to fraction form
    83,190.52/114,814.80 = 47,383.86/x
  3. Step 3: Cross multiply
    83,190.52x = 114,814.80 × 47,383.86
  4. Step 4: Simplify right side
    83,190.52x = 5,440,368,409.13
  5. Step 5: Solve for x
    x = 5,440,368,409.13/83,190.52
  6. Step 6: Final answer
    x = 65,396.49

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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.