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Finding the Fourth Proportional to 32,886.36, 49,330.62 and 11,827.98

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Solution

The fourth proportional to 32,886.36, 49,330.62 and 11,827.98 is: 17,742.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,886.36 : 49,330.62 = 11,827.98 : x
  2. Step 2: Convert to fraction form
    32,886.36/49,330.62 = 11,827.98/x
  3. Step 3: Cross multiply
    32,886.36x = 49,330.62 × 11,827.98
  4. Step 4: Simplify right side
    32,886.36x = 583,481,586.75
  5. Step 5: Solve for x
    x = 583,481,586.75/32,886.36
  6. Step 6: Final answer
    x = 17,742.36

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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.