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Finding the Fourth Proportional to 32,046.57, 48,077.82 and 13,320.99

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Solution

The fourth proportional to 32,046.57, 48,077.82 and 13,320.99 is: 19,984.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,046.57 : 48,077.82 = 13,320.99 : x
  2. Step 2: Convert to fraction form
    32,046.57/48,077.82 = 13,320.99/x
  3. Step 3: Cross multiply
    32,046.57x = 48,077.82 × 13,320.99
  4. Step 4: Simplify right side
    32,046.57x = 640,444,159.44
  5. Step 5: Solve for x
    x = 640,444,159.44/32,046.57
  6. Step 6: Final answer
    x = 19,984.80

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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.