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Finding the Fourth Proportional to 29,802.99, 44,720.16 and 13,174.50

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Solution

The fourth proportional to 29,802.99, 44,720.16 and 13,174.50 is: 19,768.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,802.99 : 44,720.16 = 13,174.50 : x
  2. Step 2: Convert to fraction form
    29,802.99/44,720.16 = 13,174.50/x
  3. Step 3: Cross multiply
    29,802.99x = 44,720.16 × 13,174.50
  4. Step 4: Simplify right side
    29,802.99x = 589,165,747.92
  5. Step 5: Solve for x
    x = 589,165,747.92/29,802.99
  6. Step 6: Final answer
    x = 19,768.68

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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.