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Finding the Fourth Proportional to 32,537.46, 48,672.54 and 25,976.46

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Solution

The fourth proportional to 32,537.46, 48,672.54 and 25,976.46 is: 38,857.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,537.46 : 48,672.54 = 25,976.46 : x
  2. Step 2: Convert to fraction form
    32,537.46/48,672.54 = 25,976.46/x
  3. Step 3: Cross multiply
    32,537.46x = 48,672.54 × 25,976.46
  4. Step 4: Simplify right side
    32,537.46x = 1,264,340,288.41
  5. Step 5: Solve for x
    x = 1,264,340,288.41/32,537.46
  6. Step 6: Final answer
    x = 38,857.99

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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.