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Finding the Fourth Proportional to 32,644.86, 48,943.32 and 10,445.46

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Solution

The fourth proportional to 32,644.86, 48,943.32 and 10,445.46 is: 15,660.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,644.86 : 48,943.32 = 10,445.46 : x
  2. Step 2: Convert to fraction form
    32,644.86/48,943.32 = 10,445.46/x
  3. Step 3: Cross multiply
    32,644.86x = 48,943.32 × 10,445.46
  4. Step 4: Simplify right side
    32,644.86x = 511,235,491.33
  5. Step 5: Solve for x
    x = 511,235,491.33/32,644.86
  6. Step 6: Final answer
    x = 15,660.52

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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.