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Finding the Fourth Proportional to 37,331.80, 51,515.94 and 23,184.34

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Solution

The fourth proportional to 37,331.80, 51,515.94 and 23,184.34 is: 31,993.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,331.80 : 51,515.94 = 23,184.34 : x
  2. Step 2: Convert to fraction form
    37,331.80/51,515.94 = 23,184.34/x
  3. Step 3: Cross multiply
    37,331.80x = 51,515.94 × 23,184.34
  4. Step 4: Simplify right side
    37,331.80x = 1,194,363,068.38
  5. Step 5: Solve for x
    x = 1,194,363,068.38/37,331.80
  6. Step 6: Final answer
    x = 31,993.18

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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.