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Finding the Fourth Proportional to 29,894.40, 44,844.64 and 10,174.35

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Solution

The fourth proportional to 29,894.40, 44,844.64 and 10,174.35 is: 15,262.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,894.40 : 44,844.64 = 10,174.35 : x
  2. Step 2: Convert to fraction form
    29,894.40/44,844.64 = 10,174.35/x
  3. Step 3: Cross multiply
    29,894.40x = 44,844.64 × 10,174.35
  4. Step 4: Simplify right side
    29,894.40x = 456,265,062.98
  5. Step 5: Solve for x
    x = 456,265,062.98/29,894.40
  6. Step 6: Final answer
    x = 15,262.56

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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.