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Finding the Fourth Proportional to 82,932, 114,446.19 and 47,122.05

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Solution

The fourth proportional to 82,932, 114,446.19 and 47,122.05 is: 65,028.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,932 : 114,446.19 = 47,122.05 : x
  2. Step 2: Convert to fraction form
    82,932/114,446.19 = 47,122.05/x
  3. Step 3: Cross multiply
    82,932x = 114,446.19 × 47,122.05
  4. Step 4: Simplify right side
    82,932x = 5,392,939,087.49
  5. Step 5: Solve for x
    x = 5,392,939,087.49/82,932
  6. Step 6: Final answer
    x = 65,028.45

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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.