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Finding the Fourth Proportional to 39,034.60, 58,509.92 and 16,858.42

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Solution

The fourth proportional to 39,034.60, 58,509.92 and 16,858.42 is: 25,269.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,034.60 : 58,509.92 = 16,858.42 : x
  2. Step 2: Convert to fraction form
    39,034.60/58,509.92 = 16,858.42/x
  3. Step 3: Cross multiply
    39,034.60x = 58,509.92 × 16,858.42
  4. Step 4: Simplify right side
    39,034.60x = 986,384,805.53
  5. Step 5: Solve for x
    x = 986,384,805.53/39,034.60
  6. Step 6: Final answer
    x = 25,269.50

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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.