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Finding the Fourth Proportional to 29,630.80, 44,463.72 and 10,924

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Solution

The fourth proportional to 29,630.80, 44,463.72 and 10,924 is: 16,392.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,630.80 : 44,463.72 = 10,924 : x
  2. Step 2: Convert to fraction form
    29,630.80/44,463.72 = 10,924/x
  3. Step 3: Cross multiply
    29,630.80x = 44,463.72 × 10,924
  4. Step 4: Simplify right side
    29,630.80x = 485,721,677.28
  5. Step 5: Solve for x
    x = 485,721,677.28/29,630.80
  6. Step 6: Final answer
    x = 16,392.46

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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.