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Finding the Fourth Proportional to 30,766.68, 46,150.08 and 7,393.08

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Solution

The fourth proportional to 30,766.68, 46,150.08 and 7,393.08 is: 11,089.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,766.68 : 46,150.08 = 7,393.08 : x
  2. Step 2: Convert to fraction form
    30,766.68/46,150.08 = 7,393.08/x
  3. Step 3: Cross multiply
    30,766.68x = 46,150.08 × 7,393.08
  4. Step 4: Simplify right side
    30,766.68x = 341,191,233.45
  5. Step 5: Solve for x
    x = 341,191,233.45/30,766.68
  6. Step 6: Final answer
    x = 11,089.63

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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.