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Finding the Fourth Proportional to 32,111.57, 48,166.45 and 12,394.40

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Solution

The fourth proportional to 32,111.57, 48,166.45 and 12,394.40 is: 18,591.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,111.57 : 48,166.45 = 12,394.40 : x
  2. Step 2: Convert to fraction form
    32,111.57/48,166.45 = 12,394.40/x
  3. Step 3: Cross multiply
    32,111.57x = 48,166.45 × 12,394.40
  4. Step 4: Simplify right side
    32,111.57x = 596,994,247.00
  5. Step 5: Solve for x
    x = 596,994,247.00/32,111.57
  6. Step 6: Final answer
    x = 18,591.25

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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.