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Finding the Fourth Proportional to 117,955.72, 176,952.78 and 47,841.16

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Solution

The fourth proportional to 117,955.72, 176,952.78 and 47,841.16 is: 71,769.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,955.72 : 176,952.78 = 47,841.16 : x
  2. Step 2: Convert to fraction form
    117,955.72/176,952.78 = 47,841.16/x
  3. Step 3: Cross multiply
    117,955.72x = 176,952.78 × 47,841.16
  4. Step 4: Simplify right side
    117,955.72x = 8,465,626,260.42
  5. Step 5: Solve for x
    x = 8,465,626,260.42/117,955.72
  6. Step 6: Final answer
    x = 71,769.53

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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.