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Finding the Fourth Proportional to 34,471.08, 51,705.54 and 9,847.08

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Solution

The fourth proportional to 34,471.08, 51,705.54 and 9,847.08 is: 14,770.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,471.08 : 51,705.54 = 9,847.08 : x
  2. Step 2: Convert to fraction form
    34,471.08/51,705.54 = 9,847.08/x
  3. Step 3: Cross multiply
    34,471.08x = 51,705.54 × 9,847.08
  4. Step 4: Simplify right side
    34,471.08x = 509,148,588.82
  5. Step 5: Solve for x
    x = 509,148,588.82/34,471.08
  6. Step 6: Final answer
    x = 14,770.31

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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.