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Finding the Fourth Proportional to 32,290.94, 48,436.57 and 9,801.81

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Solution

The fourth proportional to 32,290.94, 48,436.57 and 9,801.81 is: 14,702.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,290.94 : 48,436.57 = 9,801.81 : x
  2. Step 2: Convert to fraction form
    32,290.94/48,436.57 = 9,801.81/x
  3. Step 3: Cross multiply
    32,290.94x = 48,436.57 × 9,801.81
  4. Step 4: Simplify right side
    32,290.94x = 474,766,007.18
  5. Step 5: Solve for x
    x = 474,766,007.18/32,290.94
  6. Step 6: Final answer
    x = 14,702.76

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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.