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Finding the Fourth Proportional to 45,829.80, 68,744.70 and 45,052.20

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Solution

The fourth proportional to 45,829.80, 68,744.70 and 45,052.20 is: 67,578.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,829.80 : 68,744.70 = 45,052.20 : x
  2. Step 2: Convert to fraction form
    45,829.80/68,744.70 = 45,052.20/x
  3. Step 3: Cross multiply
    45,829.80x = 68,744.70 × 45,052.20
  4. Step 4: Simplify right side
    45,829.80x = 3,097,099,973.34
  5. Step 5: Solve for x
    x = 3,097,099,973.34/45,829.80
  6. Step 6: Final answer
    x = 67,578.30

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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.