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Finding the Fourth Proportional to 32,971.96, 49,457.23 and 8,012.12

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Solution

The fourth proportional to 32,971.96, 49,457.23 and 8,012.12 is: 12,018.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,971.96 : 49,457.23 = 8,012.12 : x
  2. Step 2: Convert to fraction form
    32,971.96/49,457.23 = 8,012.12/x
  3. Step 3: Cross multiply
    32,971.96x = 49,457.23 × 8,012.12
  4. Step 4: Simplify right side
    32,971.96x = 396,257,261.63
  5. Step 5: Solve for x
    x = 396,257,261.63/32,971.96
  6. Step 6: Final answer
    x = 12,018.01

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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.