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Finding the Fourth Proportional to 32,164.60, 48,251.74 and 11,386.44

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Solution

The fourth proportional to 32,164.60, 48,251.74 and 11,386.44 is: 17,081.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,164.60 : 48,251.74 = 11,386.44 : x
  2. Step 2: Convert to fraction form
    32,164.60/48,251.74 = 11,386.44/x
  3. Step 3: Cross multiply
    32,164.60x = 48,251.74 × 11,386.44
  4. Step 4: Simplify right side
    32,164.60x = 549,415,542.41
  5. Step 5: Solve for x
    x = 549,415,542.41/32,164.60
  6. Step 6: Final answer
    x = 17,081.37

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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.