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Finding the Fourth Proportional to 82,125, 113,334.21 and 46,308.15

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Solution

The fourth proportional to 82,125, 113,334.21 and 46,308.15 is: 63,906.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,125 : 113,334.21 = 46,308.15 : x
  2. Step 2: Convert to fraction form
    82,125/113,334.21 = 46,308.15/x
  3. Step 3: Cross multiply
    82,125x = 113,334.21 × 46,308.15
  4. Step 4: Simplify right side
    82,125x = 5,248,297,596.81
  5. Step 5: Solve for x
    x = 5,248,297,596.81/82,125
  6. Step 6: Final answer
    x = 63,906.21

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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.