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Finding the Fourth Proportional to 29,911.92, 44,870.16 and 9,137.04

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Solution

The fourth proportional to 29,911.92, 44,870.16 and 9,137.04 is: 13,706.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,911.92 : 44,870.16 = 9,137.04 : x
  2. Step 2: Convert to fraction form
    29,911.92/44,870.16 = 9,137.04/x
  3. Step 3: Cross multiply
    29,911.92x = 44,870.16 × 9,137.04
  4. Step 4: Simplify right side
    29,911.92x = 409,980,446.73
  5. Step 5: Solve for x
    x = 409,980,446.73/29,911.92
  6. Step 6: Final answer
    x = 13,706.26

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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.