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Finding the Fourth Proportional to 117,294.19, 175,938.82 and 28,548.19

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Solution

The fourth proportional to 117,294.19, 175,938.82 and 28,548.19 is: 42,821.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,294.19 : 175,938.82 = 28,548.19 : x
  2. Step 2: Convert to fraction form
    117,294.19/175,938.82 = 28,548.19/x
  3. Step 3: Cross multiply
    117,294.19x = 175,938.82 × 28,548.19
  4. Step 4: Simplify right side
    117,294.19x = 5,022,733,839.30
  5. Step 5: Solve for x
    x = 5,022,733,839.30/117,294.19
  6. Step 6: Final answer
    x = 42,821.68

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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.