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Finding the Fourth Proportional to 73,409.32, 101,322.96 and 41,597

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Solution

The fourth proportional to 73,409.32, 101,322.96 and 41,597 is: 57,414.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,409.32 : 101,322.96 = 41,597 : x
  2. Step 2: Convert to fraction form
    73,409.32/101,322.96 = 41,597/x
  3. Step 3: Cross multiply
    73,409.32x = 101,322.96 × 41,597
  4. Step 4: Simplify right side
    73,409.32x = 4,214,731,167.12
  5. Step 5: Solve for x
    x = 4,214,731,167.12/73,409.32
  6. Step 6: Final answer
    x = 57,414.12

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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.