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Finding the Fourth Proportional to 30,832.77, 46,248.99 and 7,459.21

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Solution

The fourth proportional to 30,832.77, 46,248.99 and 7,459.21 is: 11,188.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,832.77 : 46,248.99 = 7,459.21 : x
  2. Step 2: Convert to fraction form
    30,832.77/46,248.99 = 7,459.21/x
  3. Step 3: Cross multiply
    30,832.77x = 46,248.99 × 7,459.21
  4. Step 4: Simplify right side
    30,832.77x = 344,980,928.70
  5. Step 5: Solve for x
    x = 344,980,928.70/30,832.77
  6. Step 6: Final answer
    x = 11,188.78

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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.