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Finding the Fourth Proportional to 34,123.20, 51,184.80 and 30,206.40

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Solution

The fourth proportional to 34,123.20, 51,184.80 and 30,206.40 is: 45,309.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,123.20 : 51,184.80 = 30,206.40 : x
  2. Step 2: Convert to fraction form
    34,123.20/51,184.80 = 30,206.40/x
  3. Step 3: Cross multiply
    34,123.20x = 51,184.80 × 30,206.40
  4. Step 4: Simplify right side
    34,123.20x = 1,546,108,542.72
  5. Step 5: Solve for x
    x = 1,546,108,542.72/34,123.20
  6. Step 6: Final answer
    x = 45,309.60

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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.