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Finding the Fourth Proportional to 30,851.12, 46,276.68 and 7,477.56

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Solution

The fourth proportional to 30,851.12, 46,276.68 and 7,477.56 is: 11,216.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,851.12 : 46,276.68 = 7,477.56 : x
  2. Step 2: Convert to fraction form
    30,851.12/46,276.68 = 7,477.56/x
  3. Step 3: Cross multiply
    30,851.12x = 46,276.68 × 7,477.56
  4. Step 4: Simplify right side
    30,851.12x = 346,036,679.34
  5. Step 5: Solve for x
    x = 346,036,679.34/30,851.12
  6. Step 6: Final answer
    x = 11,216.34

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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.