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Finding the Fourth Proportional to 31,048.03, 42,846.29 and 16,900.88

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Solution

The fourth proportional to 31,048.03, 42,846.29 and 16,900.88 is: 23,323.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,048.03 : 42,846.29 = 16,900.88 : x
  2. Step 2: Convert to fraction form
    31,048.03/42,846.29 = 16,900.88/x
  3. Step 3: Cross multiply
    31,048.03x = 42,846.29 × 16,900.88
  4. Step 4: Simplify right side
    31,048.03x = 724,139,770.38
  5. Step 5: Solve for x
    x = 724,139,770.38/31,048.03
  6. Step 6: Final answer
    x = 23,323.21

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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.