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Finding the Fourth Proportional to 30,771.77, 46,157.66 and 7,398.21

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Solution

The fourth proportional to 30,771.77, 46,157.66 and 7,398.21 is: 11,097.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,771.77 : 46,157.66 = 7,398.21 : x
  2. Step 2: Convert to fraction form
    30,771.77/46,157.66 = 7,398.21/x
  3. Step 3: Cross multiply
    30,771.77x = 46,157.66 × 7,398.21
  4. Step 4: Simplify right side
    30,771.77x = 341,484,106.22
  5. Step 5: Solve for x
    x = 341,484,106.22/30,771.77
  6. Step 6: Final answer
    x = 11,097.32

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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.