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Finding the Fourth Proportional to 30,305.75, 45,458.61 and 9,529.25

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Solution

The fourth proportional to 30,305.75, 45,458.61 and 9,529.25 is: 14,293.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,305.75 : 45,458.61 = 9,529.25 : x
  2. Step 2: Convert to fraction form
    30,305.75/45,458.61 = 9,529.25/x
  3. Step 3: Cross multiply
    30,305.75x = 45,458.61 × 9,529.25
  4. Step 4: Simplify right side
    30,305.75x = 433,186,249.92
  5. Step 5: Solve for x
    x = 433,186,249.92/30,305.75
  6. Step 6: Final answer
    x = 14,293.87

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