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Finding the Fourth Proportional to 29,905.13, 44,857.47 and 7,716.62

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Solution

The fourth proportional to 29,905.13, 44,857.47 and 7,716.62 is: 11,574.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,905.13 : 44,857.47 = 7,716.62 : x
  2. Step 2: Convert to fraction form
    29,905.13/44,857.47 = 7,716.62/x
  3. Step 3: Cross multiply
    29,905.13x = 44,857.47 × 7,716.62
  4. Step 4: Simplify right side
    29,905.13x = 346,148,050.15
  5. Step 5: Solve for x
    x = 346,148,050.15/29,905.13
  6. Step 6: Final answer
    x = 11,574.87

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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.