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Finding the Fourth Proportional to 29,546.16, 44,319.41 and 7,359.54

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Solution

The fourth proportional to 29,546.16, 44,319.41 and 7,359.54 is: 11,039.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,546.16 : 44,319.41 = 7,359.54 : x
  2. Step 2: Convert to fraction form
    29,546.16/44,319.41 = 7,359.54/x
  3. Step 3: Cross multiply
    29,546.16x = 44,319.41 × 7,359.54
  4. Step 4: Simplify right side
    29,546.16x = 326,170,544.57
  5. Step 5: Solve for x
    x = 326,170,544.57/29,546.16
  6. Step 6: Final answer
    x = 11,039.35

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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.