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Finding the Fourth Proportional to 32,350, 44,647.32 and 21,178.48

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Solution

The fourth proportional to 32,350, 44,647.32 and 21,178.48 is: 29,229.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,350 : 44,647.32 = 21,178.48 : x
  2. Step 2: Convert to fraction form
    32,350/44,647.32 = 21,178.48/x
  3. Step 3: Cross multiply
    32,350x = 44,647.32 × 21,178.48
  4. Step 4: Simplify right side
    32,350x = 945,562,373.67
  5. Step 5: Solve for x
    x = 945,562,373.67/32,350
  6. Step 6: Final answer
    x = 29,229.13

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.