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Finding the Fourth Proportional to 117,616.75, 176,455.10 and 34,510.75

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Solution

The fourth proportional to 117,616.75, 176,455.10 and 34,510.75 is: 51,774.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,616.75 : 176,455.10 = 34,510.75 : x
  2. Step 2: Convert to fraction form
    117,616.75/176,455.10 = 34,510.75/x
  3. Step 3: Cross multiply
    117,616.75x = 176,455.10 × 34,510.75
  4. Step 4: Simplify right side
    117,616.75x = 6,089,597,842.33
  5. Step 5: Solve for x
    x = 6,089,597,842.33/117,616.75
  6. Step 6: Final answer
    x = 51,774.92

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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.