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Finding the Fourth Proportional to 29,159.96, 43,734.96 and 7,812.81

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Solution

The fourth proportional to 29,159.96, 43,734.96 and 7,812.81 is: 11,717.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,159.96 : 43,734.96 = 7,812.81 : x
  2. Step 2: Convert to fraction form
    29,159.96/43,734.96 = 7,812.81/x
  3. Step 3: Cross multiply
    29,159.96x = 43,734.96 × 7,812.81
  4. Step 4: Simplify right side
    29,159.96x = 341,692,932.84
  5. Step 5: Solve for x
    x = 341,692,932.84/29,159.96
  6. Step 6: Final answer
    x = 11,717.88

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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.