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Finding the Fourth Proportional to 29,730.10, 44,601.70 and 10,008

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Solution

The fourth proportional to 29,730.10, 44,601.70 and 10,008 is: 15,014.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,730.10 : 44,601.70 = 10,008 : x
  2. Step 2: Convert to fraction form
    29,730.10/44,601.70 = 10,008/x
  3. Step 3: Cross multiply
    29,730.10x = 44,601.70 × 10,008
  4. Step 4: Simplify right side
    29,730.10x = 446,373,813.60
  5. Step 5: Solve for x
    x = 446,373,813.60/29,730.10
  6. Step 6: Final answer
    x = 15,014.20

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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.