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Finding the Fourth Proportional to 82,066.32, 113,279.22 and 51,045.72

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Solution

The fourth proportional to 82,066.32, 113,279.22 and 51,045.72 is: 70,460.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,066.32 : 113,279.22 = 51,045.72 : x
  2. Step 2: Convert to fraction form
    82,066.32/113,279.22 = 51,045.72/x
  3. Step 3: Cross multiply
    82,066.32x = 113,279.22 × 51,045.72
  4. Step 4: Simplify right side
    82,066.32x = 5,782,419,345.94
  5. Step 5: Solve for x
    x = 5,782,419,345.94/82,066.32
  6. Step 6: Final answer
    x = 70,460.32

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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.