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Finding the Fourth Proportional to 32,297.16, 48,446.66 and 8,923.60

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Solution

The fourth proportional to 32,297.16, 48,446.66 and 8,923.60 is: 13,385.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,297.16 : 48,446.66 = 8,923.60 : x
  2. Step 2: Convert to fraction form
    32,297.16/48,446.66 = 8,923.60/x
  3. Step 3: Cross multiply
    32,297.16x = 48,446.66 × 8,923.60
  4. Step 4: Simplify right side
    32,297.16x = 432,318,615.18
  5. Step 5: Solve for x
    x = 432,318,615.18/32,297.16
  6. Step 6: Final answer
    x = 13,385.65

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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.