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Finding the Fourth Proportional to 82,017.37, 113,184.37 and 46,207.95

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Solution

The fourth proportional to 82,017.37, 113,184.37 and 46,207.95 is: 63,767.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,017.37 : 113,184.37 = 46,207.95 : x
  2. Step 2: Convert to fraction form
    82,017.37/113,184.37 = 46,207.95/x
  3. Step 3: Cross multiply
    82,017.37x = 113,184.37 × 46,207.95
  4. Step 4: Simplify right side
    82,017.37x = 5,230,017,709.74
  5. Step 5: Solve for x
    x = 5,230,017,709.74/82,017.37
  6. Step 6: Final answer
    x = 63,767.20

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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.