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Finding the Fourth Proportional to 82,267.96, 113,529 and 46,457.32

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Solution

The fourth proportional to 82,267.96, 113,529 and 46,457.32 is: 64,110.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,267.96 : 113,529 = 46,457.32 : x
  2. Step 2: Convert to fraction form
    82,267.96/113,529 = 46,457.32/x
  3. Step 3: Cross multiply
    82,267.96x = 113,529 × 46,457.32
  4. Step 4: Simplify right side
    82,267.96x = 5,274,253,082.28
  5. Step 5: Solve for x
    x = 5,274,253,082.28/82,267.96
  6. Step 6: Final answer
    x = 64,110.66

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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.