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Finding the Fourth Proportional to 29,689.76, 44,541.94 and 13,671.84

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Solution

The fourth proportional to 29,689.76, 44,541.94 and 13,671.84 is: 20,511.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,689.76 : 44,541.94 = 13,671.84 : x
  2. Step 2: Convert to fraction form
    29,689.76/44,541.94 = 13,671.84/x
  3. Step 3: Cross multiply
    29,689.76x = 44,541.94 × 13,671.84
  4. Step 4: Simplify right side
    29,689.76x = 608,970,276.97
  5. Step 5: Solve for x
    x = 608,970,276.97/29,689.76
  6. Step 6: Final answer
    x = 20,511.12

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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.