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Finding the Fourth Proportional to 82,433.95, 113,758.86 and 46,623.20

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Solution

The fourth proportional to 82,433.95, 113,758.86 and 46,623.20 is: 64,340.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,433.95 : 113,758.86 = 46,623.20 : x
  2. Step 2: Convert to fraction form
    82,433.95/113,758.86 = 46,623.20/x
  3. Step 3: Cross multiply
    82,433.95x = 113,758.86 × 46,623.20
  4. Step 4: Simplify right side
    82,433.95x = 5,303,801,294.21
  5. Step 5: Solve for x
    x = 5,303,801,294.21/82,433.95
  6. Step 6: Final answer
    x = 64,340.01

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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.