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Finding the Fourth Proportional to 34,228.98, 51,348.32 and 10,538.49

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Solution

The fourth proportional to 34,228.98, 51,348.32 and 10,538.49 is: 15,809.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,228.98 : 51,348.32 = 10,538.49 : x
  2. Step 2: Convert to fraction form
    34,228.98/51,348.32 = 10,538.49/x
  3. Step 3: Cross multiply
    34,228.98x = 51,348.32 × 10,538.49
  4. Step 4: Simplify right side
    34,228.98x = 541,133,756.84
  5. Step 5: Solve for x
    x = 541,133,756.84/34,228.98
  6. Step 6: Final answer
    x = 15,809.23

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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.