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Finding the Fourth Proportional to 32,912.42, 49,370.31 and 9,219.92

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Solution

The fourth proportional to 32,912.42, 49,370.31 and 9,219.92 is: 13,830.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,912.42 : 49,370.31 = 9,219.92 : x
  2. Step 2: Convert to fraction form
    32,912.42/49,370.31 = 9,219.92/x
  3. Step 3: Cross multiply
    32,912.42x = 49,370.31 × 9,219.92
  4. Step 4: Simplify right side
    32,912.42x = 455,190,061.72
  5. Step 5: Solve for x
    x = 455,190,061.72/32,912.42
  6. Step 6: Final answer
    x = 13,830.35

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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.