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Finding the Fourth Proportional to 34,648.56, 51,984 and 11,291.04

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Solution

The fourth proportional to 34,648.56, 51,984 and 11,291.04 is: 16,940.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,648.56 : 51,984 = 11,291.04 : x
  2. Step 2: Convert to fraction form
    34,648.56/51,984 = 11,291.04/x
  3. Step 3: Cross multiply
    34,648.56x = 51,984 × 11,291.04
  4. Step 4: Simplify right side
    34,648.56x = 586,953,423.36
  5. Step 5: Solve for x
    x = 586,953,423.36/34,648.56
  6. Step 6: Final answer
    x = 16,940.20

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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.