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Finding the Fourth Proportional to 65,817.44, 90,828.06 and 37,143.16

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Solution

The fourth proportional to 65,817.44, 90,828.06 and 37,143.16 is: 51,257.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,817.44 : 90,828.06 = 37,143.16 : x
  2. Step 2: Convert to fraction form
    65,817.44/90,828.06 = 37,143.16/x
  3. Step 3: Cross multiply
    65,817.44x = 90,828.06 × 37,143.16
  4. Step 4: Simplify right side
    65,817.44x = 3,373,641,165.07
  5. Step 5: Solve for x
    x = 3,373,641,165.07/65,817.44
  6. Step 6: Final answer
    x = 51,257.56

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.