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Finding the Fourth Proportional to 117,612.75, 176,449.10 and 34,506.75

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Solution

The fourth proportional to 117,612.75, 176,449.10 and 34,506.75 is: 51,768.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,612.75 : 176,449.10 = 34,506.75 : x
  2. Step 2: Convert to fraction form
    117,612.75/176,449.10 = 34,506.75/x
  3. Step 3: Cross multiply
    117,612.75x = 176,449.10 × 34,506.75
  4. Step 4: Simplify right side
    117,612.75x = 6,088,684,808.89
  5. Step 5: Solve for x
    x = 6,088,684,808.89/117,612.75
  6. Step 6: Final answer
    x = 51,768.92

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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.