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Finding the Fourth Proportional to 91,742.16, 126,596.70 and 51,450.42

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Solution

The fourth proportional to 91,742.16, 126,596.70 and 51,450.42 is: 70,997.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,742.16 : 126,596.70 = 51,450.42 : x
  2. Step 2: Convert to fraction form
    91,742.16/126,596.70 = 51,450.42/x
  3. Step 3: Cross multiply
    91,742.16x = 126,596.70 × 51,450.42
  4. Step 4: Simplify right side
    91,742.16x = 6,513,453,385.61
  5. Step 5: Solve for x
    x = 6,513,453,385.61/91,742.16
  6. Step 6: Final answer
    x = 70,997.38

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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.