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Finding the Fourth Proportional to 30,855.92, 46,276.65 and 8,671.42

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Solution

The fourth proportional to 30,855.92, 46,276.65 and 8,671.42 is: 13,005.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,855.92 : 46,276.65 = 8,671.42 : x
  2. Step 2: Convert to fraction form
    30,855.92/46,276.65 = 8,671.42/x
  3. Step 3: Cross multiply
    30,855.92x = 46,276.65 × 8,671.42
  4. Step 4: Simplify right side
    30,855.92x = 401,284,268.34
  5. Step 5: Solve for x
    x = 401,284,268.34/30,855.92
  6. Step 6: Final answer
    x = 13,005.10

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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.