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Finding the Fourth Proportional to 30,221.49, 45,347.73 and 12,465.78

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Solution

The fourth proportional to 30,221.49, 45,347.73 and 12,465.78 is: 18,705.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,221.49 : 45,347.73 = 12,465.78 : x
  2. Step 2: Convert to fraction form
    30,221.49/45,347.73 = 12,465.78/x
  3. Step 3: Cross multiply
    30,221.49x = 45,347.73 × 12,465.78
  4. Step 4: Simplify right side
    30,221.49x = 565,294,825.68
  5. Step 5: Solve for x
    x = 565,294,825.68/30,221.49
  6. Step 6: Final answer
    x = 18,705.06

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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.