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Finding the Fourth Proportional to 34,770.45, 52,152.94 and 9,809.49

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Solution

The fourth proportional to 34,770.45, 52,152.94 and 9,809.49 is: 14,713.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,770.45 : 52,152.94 = 9,809.49 : x
  2. Step 2: Convert to fraction form
    34,770.45/52,152.94 = 9,809.49/x
  3. Step 3: Cross multiply
    34,770.45x = 52,152.94 × 9,809.49
  4. Step 4: Simplify right side
    34,770.45x = 511,593,743.40
  5. Step 5: Solve for x
    x = 511,593,743.40/34,770.45
  6. Step 6: Final answer
    x = 14,713.46

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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.