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Finding the Fourth Proportional to 120,283.49, 180,425.99 and 31,536.20

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Solution

The fourth proportional to 120,283.49, 180,425.99 and 31,536.20 is: 47,304.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,283.49 : 180,425.99 = 31,536.20 : x
  2. Step 2: Convert to fraction form
    120,283.49/180,425.99 = 31,536.20/x
  3. Step 3: Cross multiply
    120,283.49x = 180,425.99 × 31,536.20
  4. Step 4: Simplify right side
    120,283.49x = 5,689,950,635.74
  5. Step 5: Solve for x
    x = 5,689,950,635.74/120,283.49
  6. Step 6: Final answer
    x = 47,304.50

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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.