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Finding the Fourth Proportional to 32,448.06, 48,652.38 and 12,702.96

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Solution

The fourth proportional to 32,448.06, 48,652.38 and 12,702.96 is: 19,046.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,448.06 : 48,652.38 = 12,702.96 : x
  2. Step 2: Convert to fraction form
    32,448.06/48,652.38 = 12,702.96/x
  3. Step 3: Cross multiply
    32,448.06x = 48,652.38 × 12,702.96
  4. Step 4: Simplify right side
    32,448.06x = 618,029,237.04
  5. Step 5: Solve for x
    x = 618,029,237.04/32,448.06
  6. Step 6: Final answer
    x = 19,046.72

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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.