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Finding the Fourth Proportional to 32,886.60, 49,321.29 and 11,824.17

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Solution

The fourth proportional to 32,886.60, 49,321.29 and 11,824.17 is: 17,733.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,886.60 : 49,321.29 = 11,824.17 : x
  2. Step 2: Convert to fraction form
    32,886.60/49,321.29 = 11,824.17/x
  3. Step 3: Cross multiply
    32,886.60x = 49,321.29 × 11,824.17
  4. Step 4: Simplify right side
    32,886.60x = 583,183,317.58
  5. Step 5: Solve for x
    x = 583,183,317.58/32,886.60
  6. Step 6: Final answer
    x = 17,733.16

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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.