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Finding the Fourth Proportional to 29,405.76, 44,116.05 and 12,761.74

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Solution

The fourth proportional to 29,405.76, 44,116.05 and 12,761.74 is: 19,145.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,405.76 : 44,116.05 = 12,761.74 : x
  2. Step 2: Convert to fraction form
    29,405.76/44,116.05 = 12,761.74/x
  3. Step 3: Cross multiply
    29,405.76x = 44,116.05 × 12,761.74
  4. Step 4: Simplify right side
    29,405.76x = 562,997,559.93
  5. Step 5: Solve for x
    x = 562,997,559.93/29,405.76
  6. Step 6: Final answer
    x = 19,145.83

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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.