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Finding the Fourth Proportional to 82,202.74, 113,440.18 and 46,394.26

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Solution

The fourth proportional to 82,202.74, 113,440.18 and 46,394.26 is: 64,024.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,202.74 : 113,440.18 = 46,394.26 : x
  2. Step 2: Convert to fraction form
    82,202.74/113,440.18 = 46,394.26/x
  3. Step 3: Cross multiply
    82,202.74x = 113,440.18 × 46,394.26
  4. Step 4: Simplify right side
    82,202.74x = 5,262,973,205.37
  5. Step 5: Solve for x
    x = 5,262,973,205.37/82,202.74
  6. Step 6: Final answer
    x = 64,024.30

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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.