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Finding the Fourth Proportional to 32,838.58, 49,235.38 and 11,778.18

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Solution

The fourth proportional to 32,838.58, 49,235.38 and 11,778.18 is: 17,659.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,838.58 : 49,235.38 = 11,778.18 : x
  2. Step 2: Convert to fraction form
    32,838.58/49,235.38 = 11,778.18/x
  3. Step 3: Cross multiply
    32,838.58x = 49,235.38 × 11,778.18
  4. Step 4: Simplify right side
    32,838.58x = 579,903,168.01
  5. Step 5: Solve for x
    x = 579,903,168.01/32,838.58
  6. Step 6: Final answer
    x = 17,659.20

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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.