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Finding the Fourth Proportional to 34,193.12, 51,285.44 and 9,235.20

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Solution

The fourth proportional to 34,193.12, 51,285.44 and 9,235.20 is: 13,851.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,193.12 : 51,285.44 = 9,235.20 : x
  2. Step 2: Convert to fraction form
    34,193.12/51,285.44 = 9,235.20/x
  3. Step 3: Cross multiply
    34,193.12x = 51,285.44 × 9,235.20
  4. Step 4: Simplify right side
    34,193.12x = 473,631,295.49
  5. Step 5: Solve for x
    x = 473,631,295.49/34,193.12
  6. Step 6: Final answer
    x = 13,851.65

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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.