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Finding the Fourth Proportional to 32,971.76, 49,457.18 and 8,012

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Solution

The fourth proportional to 32,971.76, 49,457.18 and 8,012 is: 12,017.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,971.76 : 49,457.18 = 8,012 : x
  2. Step 2: Convert to fraction form
    32,971.76/49,457.18 = 8,012/x
  3. Step 3: Cross multiply
    32,971.76x = 49,457.18 × 8,012
  4. Step 4: Simplify right side
    32,971.76x = 396,250,926.16
  5. Step 5: Solve for x
    x = 396,250,926.16/32,971.76
  6. Step 6: Final answer
    x = 12,017.89

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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.