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Finding the Fourth Proportional to 85,093.72, 127,624.10 and 32,490.70

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Solution

The fourth proportional to 85,093.72, 127,624.10 and 32,490.70 is: 48,729.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,093.72 : 127,624.10 = 32,490.70 : x
  2. Step 2: Convert to fraction form
    85,093.72/127,624.10 = 32,490.70/x
  3. Step 3: Cross multiply
    85,093.72x = 127,624.10 × 32,490.70
  4. Step 4: Simplify right side
    85,093.72x = 4,146,596,345.87
  5. Step 5: Solve for x
    x = 4,146,596,345.87/85,093.72
  6. Step 6: Final answer
    x = 48,729.76

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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.