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Finding the Fourth Proportional to 32,457.34, 48,693.05 and 9,968.09

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Solution

The fourth proportional to 32,457.34, 48,693.05 and 9,968.09 is: 14,954.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,457.34 : 48,693.05 = 9,968.09 : x
  2. Step 2: Convert to fraction form
    32,457.34/48,693.05 = 9,968.09/x
  3. Step 3: Cross multiply
    32,457.34x = 48,693.05 × 9,968.09
  4. Step 4: Simplify right side
    32,457.34x = 485,376,704.77
  5. Step 5: Solve for x
    x = 485,376,704.77/32,457.34
  6. Step 6: Final answer
    x = 14,954.30

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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.