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Finding the Fourth Proportional to 82,914.42, 114,422.01 and 45,188.67

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Solution

The fourth proportional to 82,914.42, 114,422.01 and 45,188.67 is: 62,360.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,914.42 : 114,422.01 = 45,188.67 : x
  2. Step 2: Convert to fraction form
    82,914.42/114,422.01 = 45,188.67/x
  3. Step 3: Cross multiply
    82,914.42x = 114,422.01 × 45,188.67
  4. Step 4: Simplify right side
    82,914.42x = 5,170,578,450.63
  5. Step 5: Solve for x
    x = 5,170,578,450.63/82,914.42
  6. Step 6: Final answer
    x = 62,360.42

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