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Finding the Fourth Proportional to 83,674.72, 125,533.84 and 31,099.36

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Solution

The fourth proportional to 83,674.72, 125,533.84 and 31,099.36 is: 46,657.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,674.72 : 125,533.84 = 31,099.36 : x
  2. Step 2: Convert to fraction form
    83,674.72/125,533.84 = 31,099.36/x
  3. Step 3: Cross multiply
    83,674.72x = 125,533.84 × 31,099.36
  4. Step 4: Simplify right side
    83,674.72x = 3,904,022,082.34
  5. Step 5: Solve for x
    x = 3,904,022,082.34/83,674.72
  6. Step 6: Final answer
    x = 46,657.13

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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.