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Finding the Fourth Proportional to 30,802.40, 46,171.44 and 22,348.46

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Solution

The fourth proportional to 30,802.40, 46,171.44 and 22,348.46 is: 33,499.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,802.40 : 46,171.44 = 22,348.46 : x
  2. Step 2: Convert to fraction form
    30,802.40/46,171.44 = 22,348.46/x
  3. Step 3: Cross multiply
    30,802.40x = 46,171.44 × 22,348.46
  4. Step 4: Simplify right side
    30,802.40x = 1,031,860,579.98
  5. Step 5: Solve for x
    x = 1,031,860,579.98/30,802.40
  6. Step 6: Final answer
    x = 33,499.36

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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.