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Finding the Fourth Proportional to 32,977.15, 49,460.28 and 9,286.34

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Solution

The fourth proportional to 32,977.15, 49,460.28 and 9,286.34 is: 13,927.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,977.15 : 49,460.28 = 9,286.34 : x
  2. Step 2: Convert to fraction form
    32,977.15/49,460.28 = 9,286.34/x
  3. Step 3: Cross multiply
    32,977.15x = 49,460.28 × 9,286.34
  4. Step 4: Simplify right side
    32,977.15x = 459,304,976.58
  5. Step 5: Solve for x
    x = 459,304,976.58/32,977.15
  6. Step 6: Final answer
    x = 13,927.98

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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.