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Finding the Fourth Proportional to 32,695.94, 49,051.20 and 11,919.44

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Solution

The fourth proportional to 32,695.94, 49,051.20 and 11,919.44 is: 17,881.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,695.94 : 49,051.20 = 11,919.44 : x
  2. Step 2: Convert to fraction form
    32,695.94/49,051.20 = 11,919.44/x
  3. Step 3: Cross multiply
    32,695.94x = 49,051.20 × 11,919.44
  4. Step 4: Simplify right side
    32,695.94x = 584,662,835.33
  5. Step 5: Solve for x
    x = 584,662,835.33/32,695.94
  6. Step 6: Final answer
    x = 17,881.82

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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.