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Finding the Fourth Proportional to 30,766.74, 46,149.03 and 9,990.06

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Solution

The fourth proportional to 30,766.74, 46,149.03 and 9,990.06 is: 14,984.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,766.74 : 46,149.03 = 9,990.06 : x
  2. Step 2: Convert to fraction form
    30,766.74/46,149.03 = 9,990.06/x
  3. Step 3: Cross multiply
    30,766.74x = 46,149.03 × 9,990.06
  4. Step 4: Simplify right side
    30,766.74x = 461,031,578.64
  5. Step 5: Solve for x
    x = 461,031,578.64/30,766.74
  6. Step 6: Final answer
    x = 14,984.74

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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.