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Finding the Fourth Proportional to 33,802.48, 50,711.40 and 10,430.80

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Solution

The fourth proportional to 33,802.48, 50,711.40 and 10,430.80 is: 15,648.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,802.48 : 50,711.40 = 10,430.80 : x
  2. Step 2: Convert to fraction form
    33,802.48/50,711.40 = 10,430.80/x
  3. Step 3: Cross multiply
    33,802.48x = 50,711.40 × 10,430.80
  4. Step 4: Simplify right side
    33,802.48x = 528,960,471.12
  5. Step 5: Solve for x
    x = 528,960,471.12/33,802.48
  6. Step 6: Final answer
    x = 15,648.57

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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.