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Finding the Fourth Proportional to 30,294.33, 45,448.04 and 9,233.82

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Solution

The fourth proportional to 30,294.33, 45,448.04 and 9,233.82 is: 13,852.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,294.33 : 45,448.04 = 9,233.82 : x
  2. Step 2: Convert to fraction form
    30,294.33/45,448.04 = 9,233.82/x
  3. Step 3: Cross multiply
    30,294.33x = 45,448.04 × 9,233.82
  4. Step 4: Simplify right side
    30,294.33x = 419,659,020.71
  5. Step 5: Solve for x
    x = 419,659,020.71/30,294.33
  6. Step 6: Final answer
    x = 13,852.72

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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.