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Finding the Fourth Proportional to 65,723.94, 98,644.50 and 30,683.34

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Solution

The fourth proportional to 65,723.94, 98,644.50 and 30,683.34 is: 46,052.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,723.94 : 98,644.50 = 30,683.34 : x
  2. Step 2: Convert to fraction form
    65,723.94/98,644.50 = 30,683.34/x
  3. Step 3: Cross multiply
    65,723.94x = 98,644.50 × 30,683.34
  4. Step 4: Simplify right side
    65,723.94x = 3,026,742,732.63
  5. Step 5: Solve for x
    x = 3,026,742,732.63/65,723.94
  6. Step 6: Final answer
    x = 46,052.36

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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.