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Finding the Fourth Proportional to 29,753.98, 44,617.62 and 21,399

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Solution

The fourth proportional to 29,753.98, 44,617.62 and 21,399 is: 32,088.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,753.98 : 44,617.62 = 21,399 : x
  2. Step 2: Convert to fraction form
    29,753.98/44,617.62 = 21,399/x
  3. Step 3: Cross multiply
    29,753.98x = 44,617.62 × 21,399
  4. Step 4: Simplify right side
    29,753.98x = 954,772,450.38
  5. Step 5: Solve for x
    x = 954,772,450.38/29,753.98
  6. Step 6: Final answer
    x = 32,088.90

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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.