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Finding the Fourth Proportional to 43,966.80, 65,994.14 and 24,254.64

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Solution

The fourth proportional to 43,966.80, 65,994.14 and 24,254.64 is: 36,406.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,966.80 : 65,994.14 = 24,254.64 : x
  2. Step 2: Convert to fraction form
    43,966.80/65,994.14 = 24,254.64/x
  3. Step 3: Cross multiply
    43,966.80x = 65,994.14 × 24,254.64
  4. Step 4: Simplify right side
    43,966.80x = 1,600,664,168.45
  5. Step 5: Solve for x
    x = 1,600,664,168.45/43,966.80
  6. Step 6: Final answer
    x = 36,406.20

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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.