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Finding the Fourth Proportional to 99,490.32, 149,256.96 and 32,927.10

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Solution

The fourth proportional to 99,490.32, 149,256.96 and 32,927.10 is: 49,397.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,490.32 : 149,256.96 = 32,927.10 : x
  2. Step 2: Convert to fraction form
    99,490.32/149,256.96 = 32,927.10/x
  3. Step 3: Cross multiply
    99,490.32x = 149,256.96 × 32,927.10
  4. Step 4: Simplify right side
    99,490.32x = 4,914,598,847.62
  5. Step 5: Solve for x
    x = 4,914,598,847.62/99,490.32
  6. Step 6: Final answer
    x = 49,397.76

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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.