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Finding the Fourth Proportional to 30,337.50, 45,512.97 and 12,822.30

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Solution

The fourth proportional to 30,337.50, 45,512.97 and 12,822.30 is: 19,236.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,337.50 : 45,512.97 = 12,822.30 : x
  2. Step 2: Convert to fraction form
    30,337.50/45,512.97 = 12,822.30/x
  3. Step 3: Cross multiply
    30,337.50x = 45,512.97 × 12,822.30
  4. Step 4: Simplify right side
    30,337.50x = 583,580,955.23
  5. Step 5: Solve for x
    x = 583,580,955.23/30,337.50
  6. Step 6: Final answer
    x = 19,236.29

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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.