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Finding the Fourth Proportional to 117,632.62, 176,349.71 and 51,022.57

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Solution

The fourth proportional to 117,632.62, 176,349.71 and 51,022.57 is: 76,490.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,632.62 : 176,349.71 = 51,022.57 : x
  2. Step 2: Convert to fraction form
    117,632.62/176,349.71 = 51,022.57/x
  3. Step 3: Cross multiply
    117,632.62x = 176,349.71 × 51,022.57
  4. Step 4: Simplify right side
    117,632.62x = 8,997,815,422.95
  5. Step 5: Solve for x
    x = 8,997,815,422.95/117,632.62
  6. Step 6: Final answer
    x = 76,490.82

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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.