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Finding the Fourth Proportional to 32,714.40, 49,096.44 and 23,972.16

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Solution

The fourth proportional to 32,714.40, 49,096.44 and 23,972.16 is: 35,976.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,714.40 : 49,096.44 = 23,972.16 : x
  2. Step 2: Convert to fraction form
    32,714.40/49,096.44 = 23,972.16/x
  3. Step 3: Cross multiply
    32,714.40x = 49,096.44 × 23,972.16
  4. Step 4: Simplify right side
    32,714.40x = 1,176,947,715.11
  5. Step 5: Solve for x
    x = 1,176,947,715.11/32,714.40
  6. Step 6: Final answer
    x = 35,976.44

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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.