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Finding the Fourth Proportional to 32,016.39, 48,030.74 and 12,293.39

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Solution

The fourth proportional to 32,016.39, 48,030.74 and 12,293.39 is: 18,442.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,016.39 : 48,030.74 = 12,293.39 : x
  2. Step 2: Convert to fraction form
    32,016.39/48,030.74 = 12,293.39/x
  3. Step 3: Cross multiply
    32,016.39x = 48,030.74 × 12,293.39
  4. Step 4: Simplify right side
    32,016.39x = 590,460,317.19
  5. Step 5: Solve for x
    x = 590,460,317.19/32,016.39
  6. Step 6: Final answer
    x = 18,442.44

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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.