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Finding the Fourth Proportional to 29,315.97, 43,973.96 and 8,256.02

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Solution

The fourth proportional to 29,315.97, 43,973.96 and 8,256.02 is: 12,384.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,315.97 : 43,973.96 = 8,256.02 : x
  2. Step 2: Convert to fraction form
    29,315.97/43,973.96 = 8,256.02/x
  3. Step 3: Cross multiply
    29,315.97x = 43,973.96 × 8,256.02
  4. Step 4: Simplify right side
    29,315.97x = 363,049,632.09
  5. Step 5: Solve for x
    x = 363,049,632.09/29,315.97
  6. Step 6: Final answer
    x = 12,384.02

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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.