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Finding the Fourth Proportional to 30,952.92, 46,412.82 and 12,232.20

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Solution

The fourth proportional to 30,952.92, 46,412.82 and 12,232.20 is: 18,341.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,952.92 : 46,412.82 = 12,232.20 : x
  2. Step 2: Convert to fraction form
    30,952.92/46,412.82 = 12,232.20/x
  3. Step 3: Cross multiply
    30,952.92x = 46,412.82 × 12,232.20
  4. Step 4: Simplify right side
    30,952.92x = 567,730,896.80
  5. Step 5: Solve for x
    x = 567,730,896.80/30,952.92
  6. Step 6: Final answer
    x = 18,341.76

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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.