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Finding the Fourth Proportional to 29,907.24, 44,863.02 and 10,177.80

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Solution

The fourth proportional to 29,907.24, 44,863.02 and 10,177.80 is: 15,267.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,907.24 : 44,863.02 = 10,177.80 : x
  2. Step 2: Convert to fraction form
    29,907.24/44,863.02 = 10,177.80/x
  3. Step 3: Cross multiply
    29,907.24x = 44,863.02 × 10,177.80
  4. Step 4: Simplify right side
    29,907.24x = 456,606,844.96
  5. Step 5: Solve for x
    x = 456,606,844.96/29,907.24
  6. Step 6: Final answer
    x = 15,267.44

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.