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Finding the Fourth Proportional to 117,132.42, 175,731.42 and 47,060.94

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Solution

The fourth proportional to 117,132.42, 175,731.42 and 47,060.94 is: 70,604.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,132.42 : 175,731.42 = 47,060.94 : x
  2. Step 2: Convert to fraction form
    117,132.42/175,731.42 = 47,060.94/x
  3. Step 3: Cross multiply
    117,132.42x = 175,731.42 × 47,060.94
  4. Step 4: Simplify right side
    117,132.42x = 8,270,085,812.73
  5. Step 5: Solve for x
    x = 8,270,085,812.73/117,132.42
  6. Step 6: Final answer
    x = 70,604.58

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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.