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Finding the Fourth Proportional to 29,329.74, 43,994.64 and 7,143

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Solution

The fourth proportional to 29,329.74, 43,994.64 and 7,143 is: 10,714.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,329.74 : 43,994.64 = 7,143 : x
  2. Step 2: Convert to fraction form
    29,329.74/43,994.64 = 7,143/x
  3. Step 3: Cross multiply
    29,329.74x = 43,994.64 × 7,143
  4. Step 4: Simplify right side
    29,329.74x = 314,253,713.52
  5. Step 5: Solve for x
    x = 314,253,713.52/29,329.74
  6. Step 6: Final answer
    x = 10,714.51

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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.