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Finding the Fourth Proportional to 82,342.98, 113,632.65 and 46,544.58

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Solution

The fourth proportional to 82,342.98, 113,632.65 and 46,544.58 is: 64,231.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,342.98 : 113,632.65 = 46,544.58 : x
  2. Step 2: Convert to fraction form
    82,342.98/113,632.65 = 46,544.58/x
  3. Step 3: Cross multiply
    82,342.98x = 113,632.65 × 46,544.58
  4. Step 4: Simplify right side
    82,342.98x = 5,288,983,968.54
  5. Step 5: Solve for x
    x = 5,288,983,968.54/82,342.98
  6. Step 6: Final answer
    x = 64,231.15

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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.