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Finding the Fourth Proportional to 30,464.02, 45,696.97 and 8,277.87

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Solution

The fourth proportional to 30,464.02, 45,696.97 and 8,277.87 is: 12,417.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,464.02 : 45,696.97 = 8,277.87 : x
  2. Step 2: Convert to fraction form
    30,464.02/45,696.97 = 8,277.87/x
  3. Step 3: Cross multiply
    30,464.02x = 45,696.97 × 8,277.87
  4. Step 4: Simplify right side
    30,464.02x = 378,273,641.88
  5. Step 5: Solve for x
    x = 378,273,641.88/30,464.02
  6. Step 6: Final answer
    x = 12,417.06

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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.