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Finding the Fourth Proportional to 32,687.44, 49,023.06 and 9,314.08

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Solution

The fourth proportional to 32,687.44, 49,023.06 and 9,314.08 is: 13,968.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,687.44 : 49,023.06 = 9,314.08 : x
  2. Step 2: Convert to fraction form
    32,687.44/49,023.06 = 9,314.08/x
  3. Step 3: Cross multiply
    32,687.44x = 49,023.06 × 9,314.08
  4. Step 4: Simplify right side
    32,687.44x = 456,604,702.68
  5. Step 5: Solve for x
    x = 456,604,702.68/32,687.44
  6. Step 6: Final answer
    x = 13,968.81

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.