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Finding the Fourth Proportional to 117,294.48, 175,940.24 and 28,548.05

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Solution

The fourth proportional to 117,294.48, 175,940.24 and 28,548.05 is: 42,821.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,294.48 : 175,940.24 = 28,548.05 : x
  2. Step 2: Convert to fraction form
    117,294.48/175,940.24 = 28,548.05/x
  3. Step 3: Cross multiply
    117,294.48x = 175,940.24 × 28,548.05
  4. Step 4: Simplify right side
    117,294.48x = 5,022,749,746.09
  5. Step 5: Solve for x
    x = 5,022,749,746.09/117,294.48
  6. Step 6: Final answer
    x = 42,821.71

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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.