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Finding the Fourth Proportional to 30,299.60, 41,802.14 and 30,252.83

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Solution

The fourth proportional to 30,299.60, 41,802.14 and 30,252.83 is: 41,737.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,299.60 : 41,802.14 = 30,252.83 : x
  2. Step 2: Convert to fraction form
    30,299.60/41,802.14 = 30,252.83/x
  3. Step 3: Cross multiply
    30,299.60x = 41,802.14 × 30,252.83
  4. Step 4: Simplify right side
    30,299.60x = 1,264,632,901.68
  5. Step 5: Solve for x
    x = 1,264,632,901.68/30,299.60
  6. Step 6: Final answer
    x = 41,737.61

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.