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Finding the Fourth Proportional to 47,871.36, 65,993.88 and 33,680.16

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Solution

The fourth proportional to 47,871.36, 65,993.88 and 33,680.16 is: 46,430.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,871.36 : 65,993.88 = 33,680.16 : x
  2. Step 2: Convert to fraction form
    47,871.36/65,993.88 = 33,680.16/x
  3. Step 3: Cross multiply
    47,871.36x = 65,993.88 × 33,680.16
  4. Step 4: Simplify right side
    47,871.36x = 2,222,684,437.42
  5. Step 5: Solve for x
    x = 2,222,684,437.42/47,871.36
  6. Step 6: Final answer
    x = 46,430.36

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