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Finding the Fourth Proportional to 30,857.41, 46,288.87 and 8,670.62

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Solution

The fourth proportional to 30,857.41, 46,288.87 and 8,670.62 is: 13,006.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,857.41 : 46,288.87 = 8,670.62 : x
  2. Step 2: Convert to fraction form
    30,857.41/46,288.87 = 8,670.62/x
  3. Step 3: Cross multiply
    30,857.41x = 46,288.87 × 8,670.62
  4. Step 4: Simplify right side
    30,857.41x = 401,353,165.86
  5. Step 5: Solve for x
    x = 401,353,165.86/30,857.41
  6. Step 6: Final answer
    x = 13,006.70

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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.