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Finding the Fourth Proportional to 43,509.64, 65,147.34 and 22,689.16

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Solution

The fourth proportional to 43,509.64, 65,147.34 and 22,689.16 is: 33,972.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,509.64 : 65,147.34 = 22,689.16 : x
  2. Step 2: Convert to fraction form
    43,509.64/65,147.34 = 22,689.16/x
  3. Step 3: Cross multiply
    43,509.64x = 65,147.34 × 22,689.16
  4. Step 4: Simplify right side
    43,509.64x = 1,478,138,420.83
  5. Step 5: Solve for x
    x = 1,478,138,420.83/43,509.64
  6. Step 6: Final answer
    x = 33,972.66

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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.