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Finding the Fourth Proportional to 44,633.56, 66,948.72 and 13,468

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Solution

The fourth proportional to 44,633.56, 66,948.72 and 13,468 is: 20,201.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,633.56 : 66,948.72 = 13,468 : x
  2. Step 2: Convert to fraction form
    44,633.56/66,948.72 = 13,468/x
  3. Step 3: Cross multiply
    44,633.56x = 66,948.72 × 13,468
  4. Step 4: Simplify right side
    44,633.56x = 901,665,360.96
  5. Step 5: Solve for x
    x = 901,665,360.96/44,633.56
  6. Step 6: Final answer
    x = 20,201.51

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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.