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Finding the Fourth Proportional to 65,817.83, 98,690.27 and 30,738.35

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Solution

The fourth proportional to 65,817.83, 98,690.27 and 30,738.35 is: 46,090.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,817.83 : 98,690.27 = 30,738.35 : x
  2. Step 2: Convert to fraction form
    65,817.83/98,690.27 = 30,738.35/x
  3. Step 3: Cross multiply
    65,817.83x = 98,690.27 × 30,738.35
  4. Step 4: Simplify right side
    65,817.83x = 3,033,576,153.89
  5. Step 5: Solve for x
    x = 3,033,576,153.89/65,817.83
  6. Step 6: Final answer
    x = 46,090.49

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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.