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Finding the Fourth Proportional to 29,602.74, 44,375.25 and 11,828.10

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Solution

The fourth proportional to 29,602.74, 44,375.25 and 11,828.10 is: 17,730.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,602.74 : 44,375.25 = 11,828.10 : x
  2. Step 2: Convert to fraction form
    29,602.74/44,375.25 = 11,828.10/x
  3. Step 3: Cross multiply
    29,602.74x = 44,375.25 × 11,828.10
  4. Step 4: Simplify right side
    29,602.74x = 524,874,894.53
  5. Step 5: Solve for x
    x = 524,874,894.53/29,602.74
  6. Step 6: Final answer
    x = 17,730.62

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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.