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Finding the Fourth Proportional to 97,601, 134,689.38 and 52,889

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Solution

The fourth proportional to 97,601, 134,689.38 and 52,889 is: 72,986.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,601 : 134,689.38 = 52,889 : x
  2. Step 2: Convert to fraction form
    97,601/134,689.38 = 52,889/x
  3. Step 3: Cross multiply
    97,601x = 134,689.38 × 52,889
  4. Step 4: Simplify right side
    97,601x = 7,123,586,618.82
  5. Step 5: Solve for x
    x = 7,123,586,618.82/97,601
  6. Step 6: Final answer
    x = 72,986.82

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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.