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Finding the Fourth Proportional to 82,316.25, 113,596.43 and 44,590.50

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Solution

The fourth proportional to 82,316.25, 113,596.43 and 44,590.50 is: 61,534.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,316.25 : 113,596.43 = 44,590.50 : x
  2. Step 2: Convert to fraction form
    82,316.25/113,596.43 = 44,590.50/x
  3. Step 3: Cross multiply
    82,316.25x = 113,596.43 × 44,590.50
  4. Step 4: Simplify right side
    82,316.25x = 5,065,321,388.96
  5. Step 5: Solve for x
    x = 5,065,321,388.96/82,316.25
  6. Step 6: Final answer
    x = 61,534.89

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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.