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Finding the Fourth Proportional to 82,018, 113,185.23 and 46,208.57

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Solution

The fourth proportional to 82,018, 113,185.23 and 46,208.57 is: 63,768.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,018 : 113,185.23 = 46,208.57 : x
  2. Step 2: Convert to fraction form
    82,018/113,185.23 = 46,208.57/x
  3. Step 3: Cross multiply
    82,018x = 113,185.23 × 46,208.57
  4. Step 4: Simplify right side
    82,018x = 5,230,127,623.42
  5. Step 5: Solve for x
    x = 5,230,127,623.42/82,018
  6. Step 6: Final answer
    x = 63,768.05

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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.