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Finding the Fourth Proportional to 29,959.04, 44,945.04 and 9,182

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Solution

The fourth proportional to 29,959.04, 44,945.04 and 9,182 is: 13,774.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,959.04 : 44,945.04 = 9,182 : x
  2. Step 2: Convert to fraction form
    29,959.04/44,945.04 = 9,182/x
  3. Step 3: Cross multiply
    29,959.04x = 44,945.04 × 9,182
  4. Step 4: Simplify right side
    29,959.04x = 412,685,357.28
  5. Step 5: Solve for x
    x = 412,685,357.28/29,959.04
  6. Step 6: Final answer
    x = 13,774.99

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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.