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Finding the Fourth Proportional to 43,928.80, 65,892.62 and 10,649.16

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Solution

The fourth proportional to 43,928.80, 65,892.62 and 10,649.16 is: 15,973.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,928.80 : 65,892.62 = 10,649.16 : x
  2. Step 2: Convert to fraction form
    43,928.80/65,892.62 = 10,649.16/x
  3. Step 3: Cross multiply
    43,928.80x = 65,892.62 × 10,649.16
  4. Step 4: Simplify right side
    43,928.80x = 701,701,079.82
  5. Step 5: Solve for x
    x = 701,701,079.82/43,928.80
  6. Step 6: Final answer
    x = 15,973.60

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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.