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Finding the Fourth Proportional to 65,305.56, 97,958.32 and 30,226.08

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Solution

The fourth proportional to 65,305.56, 97,958.32 and 30,226.08 is: 45,339.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,305.56 : 97,958.32 = 30,226.08 : x
  2. Step 2: Convert to fraction form
    65,305.56/97,958.32 = 30,226.08/x
  3. Step 3: Cross multiply
    65,305.56x = 97,958.32 × 30,226.08
  4. Step 4: Simplify right side
    65,305.56x = 2,960,896,016.99
  5. Step 5: Solve for x
    x = 2,960,896,016.99/65,305.56
  6. Step 6: Final answer
    x = 45,339.11

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.