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Finding the Fourth Proportional to 97,963, 135,200.34 and 54,954.36

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Solution

The fourth proportional to 97,963, 135,200.34 and 54,954.36 is: 75,843.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,963 : 135,200.34 = 54,954.36 : x
  2. Step 2: Convert to fraction form
    97,963/135,200.34 = 54,954.36/x
  3. Step 3: Cross multiply
    97,963x = 135,200.34 × 54,954.36
  4. Step 4: Simplify right side
    97,963x = 7,429,848,156.48
  5. Step 5: Solve for x
    x = 7,429,848,156.48/97,963
  6. Step 6: Final answer
    x = 75,843.41

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1.5x scale

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.