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Finding the Fourth Proportional to 33,802.24, 50,710.40 and 13,031.68

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Solution

The fourth proportional to 33,802.24, 50,710.40 and 13,031.68 is: 19,550.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,802.24 : 50,710.40 = 13,031.68 : x
  2. Step 2: Convert to fraction form
    33,802.24/50,710.40 = 13,031.68/x
  3. Step 3: Cross multiply
    33,802.24x = 50,710.40 × 13,031.68
  4. Step 4: Simplify right side
    33,802.24x = 660,841,705.47
  5. Step 5: Solve for x
    x = 660,841,705.47/33,802.24
  6. Step 6: Final answer
    x = 19,550.23

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.