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Finding the Fourth Proportional to 43,992.90, 65,989.32 and 10,713

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Solution

The fourth proportional to 43,992.90, 65,989.32 and 10,713 is: 16,069.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,992.90 : 65,989.32 = 10,713 : x
  2. Step 2: Convert to fraction form
    43,992.90/65,989.32 = 10,713/x
  3. Step 3: Cross multiply
    43,992.90x = 65,989.32 × 10,713
  4. Step 4: Simplify right side
    43,992.90x = 706,943,585.16
  5. Step 5: Solve for x
    x = 706,943,585.16/43,992.90
  6. Step 6: Final answer
    x = 16,069.49

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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.