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Finding the Fourth Proportional to 29,644.88, 44,464.02 and 7,458.24

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Solution

The fourth proportional to 29,644.88, 44,464.02 and 7,458.24 is: 11,186.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,644.88 : 44,464.02 = 7,458.24 : x
  2. Step 2: Convert to fraction form
    29,644.88/44,464.02 = 7,458.24/x
  3. Step 3: Cross multiply
    29,644.88x = 44,464.02 × 7,458.24
  4. Step 4: Simplify right side
    29,644.88x = 331,623,332.52
  5. Step 5: Solve for x
    x = 331,623,332.52/29,644.88
  6. Step 6: Final answer
    x = 11,186.53

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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.