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Finding the Fourth Proportional to 117,217.94, 175,824.47 and 28,471.91

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Solution

The fourth proportional to 117,217.94, 175,824.47 and 28,471.91 is: 42,707.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,217.94 : 175,824.47 = 28,471.91 : x
  2. Step 2: Convert to fraction form
    117,217.94/175,824.47 = 28,471.91/x
  3. Step 3: Cross multiply
    117,217.94x = 175,824.47 × 28,471.91
  4. Step 4: Simplify right side
    117,217.94x = 5,006,057,677.70
  5. Step 5: Solve for x
    x = 5,006,057,677.70/117,217.94
  6. Step 6: Final answer
    x = 42,707.27

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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.