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Finding the Fourth Proportional to 67,828.64, 101,743.14 and 21,081.50

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Solution

The fourth proportional to 67,828.64, 101,743.14 and 21,081.50 is: 31,622.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,828.64 : 101,743.14 = 21,081.50 : x
  2. Step 2: Convert to fraction form
    67,828.64/101,743.14 = 21,081.50/x
  3. Step 3: Cross multiply
    67,828.64x = 101,743.14 × 21,081.50
  4. Step 4: Simplify right side
    67,828.64x = 2,144,898,005.91
  5. Step 5: Solve for x
    x = 2,144,898,005.91/67,828.64
  6. Step 6: Final answer
    x = 31,622.31

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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.