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Finding the Fourth Proportional to 29,943.96, 44,890.02 and 11,463

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Solution

The fourth proportional to 29,943.96, 44,890.02 and 11,463 is: 17,184.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,943.96 : 44,890.02 = 11,463 : x
  2. Step 2: Convert to fraction form
    29,943.96/44,890.02 = 11,463/x
  3. Step 3: Cross multiply
    29,943.96x = 44,890.02 × 11,463
  4. Step 4: Simplify right side
    29,943.96x = 514,574,299.26
  5. Step 5: Solve for x
    x = 514,574,299.26/29,943.96
  6. Step 6: Final answer
    x = 17,184.58

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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.