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Finding the Fourth Proportional to 99,764.46, 137,670.67 and 54,441.31

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Solution

The fourth proportional to 99,764.46, 137,670.67 and 54,441.31 is: 75,126.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,764.46 : 137,670.67 = 54,441.31 : x
  2. Step 2: Convert to fraction form
    99,764.46/137,670.67 = 54,441.31/x
  3. Step 3: Cross multiply
    99,764.46x = 137,670.67 × 54,441.31
  4. Step 4: Simplify right side
    99,764.46x = 7,494,971,623.38
  5. Step 5: Solve for x
    x = 7,494,971,623.38/99,764.46
  6. Step 6: Final answer
    x = 75,126.67

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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.