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Finding the Fourth Proportional to 117,324.30, 175,986.81 and 28,577.82

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Solution

The fourth proportional to 117,324.30, 175,986.81 and 28,577.82 is: 42,866.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,324.30 : 175,986.81 = 28,577.82 : x
  2. Step 2: Convert to fraction form
    117,324.30/175,986.81 = 28,577.82/x
  3. Step 3: Cross multiply
    117,324.30x = 175,986.81 × 28,577.82
  4. Step 4: Simplify right side
    117,324.30x = 5,029,319,378.55
  5. Step 5: Solve for x
    x = 5,029,319,378.55/117,324.30
  6. Step 6: Final answer
    x = 42,866.82

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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.