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Finding the Fourth Proportional to 82,525.59, 113,858.47 and 46,221.41

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Solution

The fourth proportional to 82,525.59, 113,858.47 and 46,221.41 is: 63,770.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,525.59 : 113,858.47 = 46,221.41 : x
  2. Step 2: Convert to fraction form
    82,525.59/113,858.47 = 46,221.41/x
  3. Step 3: Cross multiply
    82,525.59x = 113,858.47 × 46,221.41
  4. Step 4: Simplify right side
    82,525.59x = 5,262,699,088.73
  5. Step 5: Solve for x
    x = 5,262,699,088.73/82,525.59
  6. Step 6: Final answer
    x = 63,770.51

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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.