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Finding the Fourth Proportional to 29,557.82, 44,330.04 and 8,497.82

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Solution

The fourth proportional to 29,557.82, 44,330.04 and 8,497.82 is: 12,744.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,557.82 : 44,330.04 = 8,497.82 : x
  2. Step 2: Convert to fraction form
    29,557.82/44,330.04 = 8,497.82/x
  3. Step 3: Cross multiply
    29,557.82x = 44,330.04 × 8,497.82
  4. Step 4: Simplify right side
    29,557.82x = 376,708,700.51
  5. Step 5: Solve for x
    x = 376,708,700.51/29,557.82
  6. Step 6: Final answer
    x = 12,744.81

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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.