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Finding the Fourth Proportional to 32,605.72, 48,898.32 and 13,885.54

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Solution

The fourth proportional to 32,605.72, 48,898.32 and 13,885.54 is: 20,823.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,605.72 : 48,898.32 = 13,885.54 : x
  2. Step 2: Convert to fraction form
    32,605.72/48,898.32 = 13,885.54/x
  3. Step 3: Cross multiply
    32,605.72x = 48,898.32 × 13,885.54
  4. Step 4: Simplify right side
    32,605.72x = 678,979,578.29
  5. Step 5: Solve for x
    x = 678,979,578.29/32,605.72
  6. Step 6: Final answer
    x = 20,823.94

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.