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Finding the Fourth Proportional to 70,172.16, 96,824.52 and 41,880.48

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Solution

The fourth proportional to 70,172.16, 96,824.52 and 41,880.48 is: 57,787.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,172.16 : 96,824.52 = 41,880.48 : x
  2. Step 2: Convert to fraction form
    70,172.16/96,824.52 = 41,880.48/x
  3. Step 3: Cross multiply
    70,172.16x = 96,824.52 × 41,880.48
  4. Step 4: Simplify right side
    70,172.16x = 4,055,057,373.37
  5. Step 5: Solve for x
    x = 4,055,057,373.37/70,172.16
  6. Step 6: Final answer
    x = 57,787.27

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Why These Related Problems?

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