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Finding the Fourth Proportional to 30,409.48, 45,614.20 and 22,142.10

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Solution

The fourth proportional to 30,409.48, 45,614.20 and 22,142.10 is: 33,213.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,409.48 : 45,614.20 = 22,142.10 : x
  2. Step 2: Convert to fraction form
    30,409.48/45,614.20 = 22,142.10/x
  3. Step 3: Cross multiply
    30,409.48x = 45,614.20 × 22,142.10
  4. Step 4: Simplify right side
    30,409.48x = 1,009,994,177.82
  5. Step 5: Solve for x
    x = 1,009,994,177.82/30,409.48
  6. Step 6: Final answer
    x = 33,213.14

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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.