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Finding the Fourth Proportional to 29,833.93, 44,746.03 and 9,057.43

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Solution

The fourth proportional to 29,833.93, 44,746.03 and 9,057.43 is: 13,584.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,833.93 : 44,746.03 = 9,057.43 : x
  2. Step 2: Convert to fraction form
    29,833.93/44,746.03 = 9,057.43/x
  3. Step 3: Cross multiply
    29,833.93x = 44,746.03 × 9,057.43
  4. Step 4: Simplify right side
    29,833.93x = 405,284,034.50
  5. Step 5: Solve for x
    x = 405,284,034.50/29,833.93
  6. Step 6: Final answer
    x = 13,584.67

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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.