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Finding the Fourth Proportional to 30,803.40, 46,172.94 and 22,349.46

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Solution

The fourth proportional to 30,803.40, 46,172.94 and 22,349.46 is: 33,500.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,803.40 : 46,172.94 = 22,349.46 : x
  2. Step 2: Convert to fraction form
    30,803.40/46,172.94 = 22,349.46/x
  3. Step 3: Cross multiply
    30,803.40x = 46,172.94 × 22,349.46
  4. Step 4: Simplify right side
    30,803.40x = 1,031,940,275.61
  5. Step 5: Solve for x
    x = 1,031,940,275.61/30,803.40
  6. Step 6: Final answer
    x = 33,500.86

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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.