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Finding the Fourth Proportional to 117,780.75, 176,703.53 and 34,674.75

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Solution

The fourth proportional to 117,780.75, 176,703.53 and 34,674.75 is: 52,021.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,780.75 : 176,703.53 = 34,674.75 : x
  2. Step 2: Convert to fraction form
    117,780.75/176,703.53 = 34,674.75/x
  3. Step 3: Cross multiply
    117,780.75x = 176,703.53 × 34,674.75
  4. Step 4: Simplify right side
    117,780.75x = 6,127,150,553.49
  5. Step 5: Solve for x
    x = 6,127,150,553.49/117,780.75
  6. Step 6: Final answer
    x = 52,021.66

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.