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Finding the Fourth Proportional to 30,952.59, 46,435.86 and 11,231.11

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Solution

The fourth proportional to 30,952.59, 46,435.86 and 11,231.11 is: 16,849.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,952.59 : 46,435.86 = 11,231.11 : x
  2. Step 2: Convert to fraction form
    30,952.59/46,435.86 = 11,231.11/x
  3. Step 3: Cross multiply
    30,952.59x = 46,435.86 × 11,231.11
  4. Step 4: Simplify right side
    30,952.59x = 521,526,251.60
  5. Step 5: Solve for x
    x = 521,526,251.60/30,952.59
  6. Step 6: Final answer
    x = 16,849.20

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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.