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Finding the Fourth Proportional to 30,464.15, 45,697.16 and 8,278.00

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Solution

The fourth proportional to 30,464.15, 45,697.16 and 8,278.00 is: 12,417.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,464.15 : 45,697.16 = 8,278.00 : x
  2. Step 2: Convert to fraction form
    30,464.15/45,697.16 = 8,278.00/x
  3. Step 3: Cross multiply
    30,464.15x = 45,697.16 × 8,278.00
  4. Step 4: Simplify right side
    30,464.15x = 378,280,919.12
  5. Step 5: Solve for x
    x = 378,280,919.12/30,464.15
  6. Step 6: Final answer
    x = 12,417.25

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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.