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Finding the Fourth Proportional to 32,592, 44,976.96 and 21,433.92

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Solution

The fourth proportional to 32,592, 44,976.96 and 21,433.92 is: 29,578.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,592 : 44,976.96 = 21,433.92 : x
  2. Step 2: Convert to fraction form
    32,592/44,976.96 = 21,433.92/x
  3. Step 3: Cross multiply
    32,592x = 44,976.96 × 21,433.92
  4. Step 4: Simplify right side
    32,592x = 964,032,562.48
  5. Step 5: Solve for x
    x = 964,032,562.48/32,592
  6. Step 6: Final answer
    x = 29,578.81

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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.