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Finding the Fourth Proportional to 29,720.70, 44,564.94 and 13,061.22

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Solution

The fourth proportional to 29,720.70, 44,564.94 and 13,061.22 is: 19,584.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,720.70 : 44,564.94 = 13,061.22 : x
  2. Step 2: Convert to fraction form
    29,720.70/44,564.94 = 13,061.22/x
  3. Step 3: Cross multiply
    29,720.70x = 44,564.94 × 13,061.22
  4. Step 4: Simplify right side
    29,720.70x = 582,072,485.63
  5. Step 5: Solve for x
    x = 582,072,485.63/29,720.70
  6. Step 6: Final answer
    x = 19,584.75

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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.