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Finding the Fourth Proportional to 51,051.54, 70,440.79 and 29,826.70

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Solution

The fourth proportional to 51,051.54, 70,440.79 and 29,826.70 is: 41,154.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,051.54 : 70,440.79 = 29,826.70 : x
  2. Step 2: Convert to fraction form
    51,051.54/70,440.79 = 29,826.70/x
  3. Step 3: Cross multiply
    51,051.54x = 70,440.79 × 29,826.70
  4. Step 4: Simplify right side
    51,051.54x = 2,101,016,311.09
  5. Step 5: Solve for x
    x = 2,101,016,311.09/51,051.54
  6. Step 6: Final answer
    x = 41,154.81

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.