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Finding the Fourth Proportional to 101,714.46, 152,604.81 and 49,129.98

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Solution

The fourth proportional to 101,714.46, 152,604.81 and 49,129.98 is: 73,710.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,714.46 : 152,604.81 = 49,129.98 : x
  2. Step 2: Convert to fraction form
    101,714.46/152,604.81 = 49,129.98/x
  3. Step 3: Cross multiply
    101,714.46x = 152,604.81 × 49,129.98
  4. Step 4: Simplify right side
    101,714.46x = 7,497,471,263.20
  5. Step 5: Solve for x
    x = 7,497,471,263.20/101,714.46
  6. Step 6: Final answer
    x = 73,710.97

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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.