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Finding the Fourth Proportional to 34,191.28, 51,285.06 and 9,230.98

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Solution

The fourth proportional to 34,191.28, 51,285.06 and 9,230.98 is: 13,845.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,191.28 : 51,285.06 = 9,230.98 : x
  2. Step 2: Convert to fraction form
    34,191.28/51,285.06 = 9,230.98/x
  3. Step 3: Cross multiply
    34,191.28x = 51,285.06 × 9,230.98
  4. Step 4: Simplify right side
    34,191.28x = 473,411,363.16
  5. Step 5: Solve for x
    x = 473,411,363.16/34,191.28
  6. Step 6: Final answer
    x = 13,845.97

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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.