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Finding the Fourth Proportional to 30,713.96, 46,041.75 and 12,005.99

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Solution

The fourth proportional to 30,713.96, 46,041.75 and 12,005.99 is: 17,997.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,713.96 : 46,041.75 = 12,005.99 : x
  2. Step 2: Convert to fraction form
    30,713.96/46,041.75 = 12,005.99/x
  3. Step 3: Cross multiply
    30,713.96x = 46,041.75 × 12,005.99
  4. Step 4: Simplify right side
    30,713.96x = 552,776,790.08
  5. Step 5: Solve for x
    x = 552,776,790.08/30,713.96
  6. Step 6: Final answer
    x = 17,997.57

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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.