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Finding the Fourth Proportional to 82,438.94, 113,779.95 and 46,640.06

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Solution

The fourth proportional to 82,438.94, 113,779.95 and 46,640.06 is: 64,371.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,438.94 : 113,779.95 = 46,640.06 : x
  2. Step 2: Convert to fraction form
    82,438.94/113,779.95 = 46,640.06/x
  3. Step 3: Cross multiply
    82,438.94x = 113,779.95 × 46,640.06
  4. Step 4: Simplify right side
    82,438.94x = 5,306,703,694.80
  5. Step 5: Solve for x
    x = 5,306,703,694.80/82,438.94
  6. Step 6: Final answer
    x = 64,371.32

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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.