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Finding the Fourth Proportional to 30,434.25, 45,651.39 and 9,657.75

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Solution

The fourth proportional to 30,434.25, 45,651.39 and 9,657.75 is: 14,486.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,434.25 : 45,651.39 = 9,657.75 : x
  2. Step 2: Convert to fraction form
    30,434.25/45,651.39 = 9,657.75/x
  3. Step 3: Cross multiply
    30,434.25x = 45,651.39 × 9,657.75
  4. Step 4: Simplify right side
    30,434.25x = 440,889,711.77
  5. Step 5: Solve for x
    x = 440,889,711.77/30,434.25
  6. Step 6: Final answer
    x = 14,486.63

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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.