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Finding the Fourth Proportional to 99,338.28, 149,032.26 and 32,782.20

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Solution

The fourth proportional to 99,338.28, 149,032.26 and 32,782.20 is: 49,181.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,338.28 : 149,032.26 = 32,782.20 : x
  2. Step 2: Convert to fraction form
    99,338.28/149,032.26 = 32,782.20/x
  3. Step 3: Cross multiply
    99,338.28x = 149,032.26 × 32,782.20
  4. Step 4: Simplify right side
    99,338.28x = 4,885,605,353.77
  5. Step 5: Solve for x
    x = 4,885,605,353.77/99,338.28
  6. Step 6: Final answer
    x = 49,181.50

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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.