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Finding the Fourth Proportional to 97,244, 134,196.84 and 52,532

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Solution

The fourth proportional to 97,244, 134,196.84 and 52,532 is: 72,494.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,244 : 134,196.84 = 52,532 : x
  2. Step 2: Convert to fraction form
    97,244/134,196.84 = 52,532/x
  3. Step 3: Cross multiply
    97,244x = 134,196.84 × 52,532
  4. Step 4: Simplify right side
    97,244x = 7,049,628,398.88
  5. Step 5: Solve for x
    x = 7,049,628,398.88/97,244
  6. Step 6: Final answer
    x = 72,494.22

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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.