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Finding the Fourth Proportional to 30,850.88, 46,276.32 and 7,477.32

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Solution

The fourth proportional to 30,850.88, 46,276.32 and 7,477.32 is: 11,215.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,850.88 : 46,276.32 = 7,477.32 : x
  2. Step 2: Convert to fraction form
    30,850.88/46,276.32 = 7,477.32/x
  3. Step 3: Cross multiply
    30,850.88x = 46,276.32 × 7,477.32
  4. Step 4: Simplify right side
    30,850.88x = 346,022,823.26
  5. Step 5: Solve for x
    x = 346,022,823.26/30,850.88
  6. Step 6: Final answer
    x = 11,215.98

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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.