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Finding the Fourth Proportional to 29,881.58, 44,822.39 and 7,695

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Solution

The fourth proportional to 29,881.58, 44,822.39 and 7,695 is: 11,542.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,881.58 : 44,822.39 = 7,695 : x
  2. Step 2: Convert to fraction form
    29,881.58/44,822.39 = 7,695/x
  3. Step 3: Cross multiply
    29,881.58x = 44,822.39 × 7,695
  4. Step 4: Simplify right side
    29,881.58x = 344,908,310.29
  5. Step 5: Solve for x
    x = 344,908,310.29/29,881.58
  6. Step 6: Final answer
    x = 11,542.51

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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.