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Finding the Fourth Proportional to 29,691.34, 44,541.11 and 9,975.54

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Solution

The fourth proportional to 29,691.34, 44,541.11 and 9,975.54 is: 14,964.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,691.34 : 44,541.11 = 9,975.54 : x
  2. Step 2: Convert to fraction form
    29,691.34/44,541.11 = 9,975.54/x
  3. Step 3: Cross multiply
    29,691.34x = 44,541.11 × 9,975.54
  4. Step 4: Simplify right side
    29,691.34x = 444,321,376.81
  5. Step 5: Solve for x
    x = 444,321,376.81/29,691.34
  6. Step 6: Final answer
    x = 14,964.68

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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.