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Finding the Fourth Proportional to 70,796.28, 97,683.18 and 40,971

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Solution

The fourth proportional to 70,796.28, 97,683.18 and 40,971 is: 56,530.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,796.28 : 97,683.18 = 40,971 : x
  2. Step 2: Convert to fraction form
    70,796.28/97,683.18 = 40,971/x
  3. Step 3: Cross multiply
    70,796.28x = 97,683.18 × 40,971
  4. Step 4: Simplify right side
    70,796.28x = 4,002,177,567.78
  5. Step 5: Solve for x
    x = 4,002,177,567.78/70,796.28
  6. Step 6: Final answer
    x = 56,530.90

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.