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Finding the Fourth Proportional to 43,789, 65,702.96 and 21,289.63

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Solution

The fourth proportional to 43,789, 65,702.96 and 21,289.63 is: 31,943.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,789 : 65,702.96 = 21,289.63 : x
  2. Step 2: Convert to fraction form
    43,789/65,702.96 = 21,289.63/x
  3. Step 3: Cross multiply
    43,789x = 65,702.96 × 21,289.63
  4. Step 4: Simplify right side
    43,789x = 1,398,791,708.30
  5. Step 5: Solve for x
    x = 1,398,791,708.30/43,789
  6. Step 6: Final answer
    x = 31,943.91

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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.