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Finding the Fourth Proportional to 117,095.84, 175,644.22 and 28,349.20

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Solution

The fourth proportional to 117,095.84, 175,644.22 and 28,349.20 is: 42,523.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,095.84 : 175,644.22 = 28,349.20 : x
  2. Step 2: Convert to fraction form
    117,095.84/175,644.22 = 28,349.20/x
  3. Step 3: Cross multiply
    117,095.84x = 175,644.22 × 28,349.20
  4. Step 4: Simplify right side
    117,095.84x = 4,979,373,121.62
  5. Step 5: Solve for x
    x = 4,979,373,121.62/117,095.84
  6. Step 6: Final answer
    x = 42,523.91

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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.