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Finding the Fourth Proportional to 82,252, 113,505.82 and 46,441.08

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Solution

The fourth proportional to 82,252, 113,505.82 and 46,441.08 is: 64,087.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,252 : 113,505.82 = 46,441.08 : x
  2. Step 2: Convert to fraction form
    82,252/113,505.82 = 46,441.08/x
  3. Step 3: Cross multiply
    82,252x = 113,505.82 × 46,441.08
  4. Step 4: Simplify right side
    82,252x = 5,271,332,867.09
  5. Step 5: Solve for x
    x = 5,271,332,867.09/82,252
  6. Step 6: Final answer
    x = 64,087.60

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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.