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Finding the Fourth Proportional to 29,833.56, 44,751.34 and 9,057

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Solution

The fourth proportional to 29,833.56, 44,751.34 and 9,057 is: 13,585.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,833.56 : 44,751.34 = 9,057 : x
  2. Step 2: Convert to fraction form
    29,833.56/44,751.34 = 9,057/x
  3. Step 3: Cross multiply
    29,833.56x = 44,751.34 × 9,057
  4. Step 4: Simplify right side
    29,833.56x = 405,312,886.38
  5. Step 5: Solve for x
    x = 405,312,886.38/29,833.56
  6. Step 6: Final answer
    x = 13,585.80

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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.