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Finding the Fourth Proportional to 70,984.15, 97,957.92 and 40,771.42

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Solution

The fourth proportional to 70,984.15, 97,957.92 and 40,771.42 is: 56,264.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,984.15 : 97,957.92 = 40,771.42 : x
  2. Step 2: Convert to fraction form
    70,984.15/97,957.92 = 40,771.42/x
  3. Step 3: Cross multiply
    70,984.15x = 97,957.92 × 40,771.42
  4. Step 4: Simplify right side
    70,984.15x = 3,993,883,498.65
  5. Step 5: Solve for x
    x = 3,993,883,498.65/70,984.15
  6. Step 6: Final answer
    x = 56,264.44

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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.