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Finding the Fourth Proportional to 29,677.50, 44,521.29 and 14,086.62

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Solution

The fourth proportional to 29,677.50, 44,521.29 and 14,086.62 is: 21,132.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,677.50 : 44,521.29 = 14,086.62 : x
  2. Step 2: Convert to fraction form
    29,677.50/44,521.29 = 14,086.62/x
  3. Step 3: Cross multiply
    29,677.50x = 44,521.29 × 14,086.62
  4. Step 4: Simplify right side
    29,677.50x = 627,154,494.14
  5. Step 5: Solve for x
    x = 627,154,494.14/29,677.50
  6. Step 6: Final answer
    x = 21,132.32

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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.