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Finding the Fourth Proportional to 81,702.46, 122,527.77 and 26,285.50

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Solution

The fourth proportional to 81,702.46, 122,527.77 and 26,285.50 is: 39,419.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,702.46 : 122,527.77 = 26,285.50 : x
  2. Step 2: Convert to fraction form
    81,702.46/122,527.77 = 26,285.50/x
  3. Step 3: Cross multiply
    81,702.46x = 122,527.77 × 26,285.50
  4. Step 4: Simplify right side
    81,702.46x = 3,220,703,698.34
  5. Step 5: Solve for x
    x = 3,220,703,698.34/81,702.46
  6. Step 6: Final answer
    x = 39,419.91

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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.