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Finding the Fourth Proportional to 29,689.58, 44,536.53 and 9,967.97

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Solution

The fourth proportional to 29,689.58, 44,536.53 and 9,967.97 is: 14,952.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,689.58 : 44,536.53 = 9,967.97 : x
  2. Step 2: Convert to fraction form
    29,689.58/44,536.53 = 9,967.97/x
  3. Step 3: Cross multiply
    29,689.58x = 44,536.53 × 9,967.97
  4. Step 4: Simplify right side
    29,689.58x = 443,938,794.94
  5. Step 5: Solve for x
    x = 443,938,794.94/29,689.58
  6. Step 6: Final answer
    x = 14,952.68

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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.