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Finding the Fourth Proportional to 43,643.16, 65,468.52 and 12,053.24

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Solution

The fourth proportional to 43,643.16, 65,468.52 and 12,053.24 is: 18,080.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,643.16 : 65,468.52 = 12,053.24 : x
  2. Step 2: Convert to fraction form
    43,643.16/65,468.52 = 12,053.24/x
  3. Step 3: Cross multiply
    43,643.16x = 65,468.52 × 12,053.24
  4. Step 4: Simplify right side
    43,643.16x = 789,107,784.00
  5. Step 5: Solve for x
    x = 789,107,784.00/43,643.16
  6. Step 6: Final answer
    x = 18,080.90

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.