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Finding the Fourth Proportional to 30,952.59, 46,436.10 and 24,651.33

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Solution

The fourth proportional to 30,952.59, 46,436.10 and 24,651.33 is: 36,982.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,952.59 : 46,436.10 = 24,651.33 : x
  2. Step 2: Convert to fraction form
    30,952.59/46,436.10 = 24,651.33/x
  3. Step 3: Cross multiply
    30,952.59x = 46,436.10 × 24,651.33
  4. Step 4: Simplify right side
    30,952.59x = 1,144,711,625.01
  5. Step 5: Solve for x
    x = 1,144,711,625.01/30,952.59
  6. Step 6: Final answer
    x = 36,982.74

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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.