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Finding the Fourth Proportional to 31,937.46, 44,075.05 and 17,790.31

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Solution

The fourth proportional to 31,937.46, 44,075.05 and 17,790.31 is: 24,551.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,937.46 : 44,075.05 = 17,790.31 : x
  2. Step 2: Convert to fraction form
    31,937.46/44,075.05 = 17,790.31/x
  3. Step 3: Cross multiply
    31,937.46x = 44,075.05 × 17,790.31
  4. Step 4: Simplify right side
    31,937.46x = 784,108,582.39
  5. Step 5: Solve for x
    x = 784,108,582.39/31,937.46
  6. Step 6: Final answer
    x = 24,551.38

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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.