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Finding the Fourth Proportional to 53,817.57, 80,726.40 and 25,731

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Solution

The fourth proportional to 53,817.57, 80,726.40 and 25,731 is: 38,596.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,817.57 : 80,726.40 = 25,731 : x
  2. Step 2: Convert to fraction form
    53,817.57/80,726.40 = 25,731/x
  3. Step 3: Cross multiply
    53,817.57x = 80,726.40 × 25,731
  4. Step 4: Simplify right side
    53,817.57x = 2,077,170,998.40
  5. Step 5: Solve for x
    x = 2,077,170,998.40/53,817.57
  6. Step 6: Final answer
    x = 38,596.52

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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.