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Finding the Fourth Proportional to 30,771.80, 46,157.66 and 7,398.24

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Solution

The fourth proportional to 30,771.80, 46,157.66 and 7,398.24 is: 11,097.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,771.80 : 46,157.66 = 7,398.24 : x
  2. Step 2: Convert to fraction form
    30,771.80/46,157.66 = 7,398.24/x
  3. Step 3: Cross multiply
    30,771.80x = 46,157.66 × 7,398.24
  4. Step 4: Simplify right side
    30,771.80x = 341,485,446.52
  5. Step 5: Solve for x
    x = 341,485,446.52/30,771.80
  6. Step 6: Final answer
    x = 11,097.35

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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.