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Finding the Fourth Proportional to 99,642.33, 149,430.99 and 33,064.58

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Solution

The fourth proportional to 99,642.33, 149,430.99 and 33,064.58 is: 49,586.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,642.33 : 149,430.99 = 33,064.58 : x
  2. Step 2: Convert to fraction form
    99,642.33/149,430.99 = 33,064.58/x
  3. Step 3: Cross multiply
    99,642.33x = 149,430.99 × 33,064.58
  4. Step 4: Simplify right side
    99,642.33x = 4,940,872,923.33
  5. Step 5: Solve for x
    x = 4,940,872,923.33/99,642.33
  6. Step 6: Final answer
    x = 49,586.08

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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.