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Finding the Fourth Proportional to 31,914.63, 44,041.38 and 17,767.17

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Solution

The fourth proportional to 31,914.63, 44,041.38 and 17,767.17 is: 24,518.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,914.63 : 44,041.38 = 17,767.17 : x
  2. Step 2: Convert to fraction form
    31,914.63/44,041.38 = 17,767.17/x
  3. Step 3: Cross multiply
    31,914.63x = 44,041.38 × 17,767.17
  4. Step 4: Simplify right side
    31,914.63x = 782,490,685.49
  5. Step 5: Solve for x
    x = 782,490,685.49/31,914.63
  6. Step 6: Final answer
    x = 24,518.24

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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.