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Finding the Fourth Proportional to 82,116.12, 113,327.16 and 46,313.58

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Solution

The fourth proportional to 82,116.12, 113,327.16 and 46,313.58 is: 63,916.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,116.12 : 113,327.16 = 46,313.58 : x
  2. Step 2: Convert to fraction form
    82,116.12/113,327.16 = 46,313.58/x
  3. Step 3: Cross multiply
    82,116.12x = 113,327.16 × 46,313.58
  4. Step 4: Simplify right side
    82,116.12x = 5,248,586,490.83
  5. Step 5: Solve for x
    x = 5,248,586,490.83/82,116.12
  6. Step 6: Final answer
    x = 63,916.64

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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.