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Finding the Fourth Proportional to 29,233.26, 43,845.02 and 10,509.50

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Solution

The fourth proportional to 29,233.26, 43,845.02 and 10,509.50 is: 15,762.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,233.26 : 43,845.02 = 10,509.50 : x
  2. Step 2: Convert to fraction form
    29,233.26/43,845.02 = 10,509.50/x
  3. Step 3: Cross multiply
    29,233.26x = 43,845.02 × 10,509.50
  4. Step 4: Simplify right side
    29,233.26x = 460,789,237.69
  5. Step 5: Solve for x
    x = 460,789,237.69/29,233.26
  6. Step 6: Final answer
    x = 15,762.50

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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.