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Finding the Fourth Proportional to 43,640, 60,223.20 and 23,768

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Solution

The fourth proportional to 43,640, 60,223.20 and 23,768 is: 32,799.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,640 : 60,223.20 = 23,768 : x
  2. Step 2: Convert to fraction form
    43,640/60,223.20 = 23,768/x
  3. Step 3: Cross multiply
    43,640x = 60,223.20 × 23,768
  4. Step 4: Simplify right side
    43,640x = 1,431,385,017.60
  5. Step 5: Solve for x
    x = 1,431,385,017.60/43,640
  6. Step 6: Final answer
    x = 32,799.84

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.