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Finding the Fourth Proportional to 82,082.60, 113,267.04 and 46,278.40

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Solution

The fourth proportional to 82,082.60, 113,267.04 and 46,278.40 is: 63,860.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,082.60 : 113,267.04 = 46,278.40 : x
  2. Step 2: Convert to fraction form
    82,082.60/113,267.04 = 46,278.40/x
  3. Step 3: Cross multiply
    82,082.60x = 113,267.04 × 46,278.40
  4. Step 4: Simplify right side
    82,082.60x = 5,241,817,383.94
  5. Step 5: Solve for x
    x = 5,241,817,383.94/82,082.60
  6. Step 6: Final answer
    x = 63,860.27

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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.