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Finding the Fourth Proportional to 71,213.36, 106,784.40 and 23,812.16

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Solution

The fourth proportional to 71,213.36, 106,784.40 and 23,812.16 is: 35,706.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,213.36 : 106,784.40 = 23,812.16 : x
  2. Step 2: Convert to fraction form
    71,213.36/106,784.40 = 23,812.16/x
  3. Step 3: Cross multiply
    71,213.36x = 106,784.40 × 23,812.16
  4. Step 4: Simplify right side
    71,213.36x = 2,542,767,218.30
  5. Step 5: Solve for x
    x = 2,542,767,218.30/71,213.36
  6. Step 6: Final answer
    x = 35,706.32

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.