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Finding the Fourth Proportional to 70,756.96, 106,047.96 and 35,706.64

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Solution

The fourth proportional to 70,756.96, 106,047.96 and 35,706.64 is: 53,515.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,756.96 : 106,047.96 = 35,706.64 : x
  2. Step 2: Convert to fraction form
    70,756.96/106,047.96 = 35,706.64/x
  3. Step 3: Cross multiply
    70,756.96x = 106,047.96 × 35,706.64
  4. Step 4: Simplify right side
    70,756.96x = 3,786,616,330.45
  5. Step 5: Solve for x
    x = 3,786,616,330.45/70,756.96
  6. Step 6: Final answer
    x = 53,515.81

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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.