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Finding the Fourth Proportional to 30,989.40, 46,386.90 and 22,241.40

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Solution

The fourth proportional to 30,989.40, 46,386.90 and 22,241.40 is: 33,292.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,989.40 : 46,386.90 = 22,241.40 : x
  2. Step 2: Convert to fraction form
    30,989.40/46,386.90 = 22,241.40/x
  3. Step 3: Cross multiply
    30,989.40x = 46,386.90 × 22,241.40
  4. Step 4: Simplify right side
    30,989.40x = 1,031,709,597.66
  5. Step 5: Solve for x
    x = 1,031,709,597.66/30,989.40
  6. Step 6: Final answer
    x = 33,292.34

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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.