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Finding the Fourth Proportional to 70,802.96, 106,270.07 and 35,767.22

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Solution

The fourth proportional to 70,802.96, 106,270.07 and 35,767.22 is: 53,683.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,802.96 : 106,270.07 = 35,767.22 : x
  2. Step 2: Convert to fraction form
    70,802.96/106,270.07 = 35,767.22/x
  3. Step 3: Cross multiply
    70,802.96x = 106,270.07 × 35,767.22
  4. Step 4: Simplify right side
    70,802.96x = 3,800,984,262.92
  5. Step 5: Solve for x
    x = 3,800,984,262.92/70,802.96
  6. Step 6: Final answer
    x = 53,683.98

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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.