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Finding the Fourth Proportional to 97,241, 134,192.70 and 52,529

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Solution

The fourth proportional to 97,241, 134,192.70 and 52,529 is: 72,490.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,241 : 134,192.70 = 52,529 : x
  2. Step 2: Convert to fraction form
    97,241/134,192.70 = 52,529/x
  3. Step 3: Cross multiply
    97,241x = 134,192.70 × 52,529
  4. Step 4: Simplify right side
    97,241x = 7,049,008,338.30
  5. Step 5: Solve for x
    x = 7,049,008,338.30/97,241
  6. Step 6: Final answer
    x = 72,490.08

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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.