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Finding the Fourth Proportional to 29,689.96, 44,537.28 and 9,968.44

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Solution

The fourth proportional to 29,689.96, 44,537.28 and 9,968.44 is: 14,953.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,689.96 : 44,537.28 = 9,968.44 : x
  2. Step 2: Convert to fraction form
    29,689.96/44,537.28 = 9,968.44/x
  3. Step 3: Cross multiply
    29,689.96x = 44,537.28 × 9,968.44
  4. Step 4: Simplify right side
    29,689.96x = 443,967,203.44
  5. Step 5: Solve for x
    x = 443,967,203.44/29,689.96
  6. Step 6: Final answer
    x = 14,953.45

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1.5x scale

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.