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Finding the Fourth Proportional to 70,152.98, 105,202.18 and 22,756.62

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Solution

The fourth proportional to 70,152.98, 105,202.18 and 22,756.62 is: 34,126.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,152.98 : 105,202.18 = 22,756.62 : x
  2. Step 2: Convert to fraction form
    70,152.98/105,202.18 = 22,756.62/x
  3. Step 3: Cross multiply
    70,152.98x = 105,202.18 × 22,756.62
  4. Step 4: Simplify right side
    70,152.98x = 2,394,046,033.43
  5. Step 5: Solve for x
    x = 2,394,046,033.43/70,152.98
  6. Step 6: Final answer
    x = 34,126.08

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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.