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Finding the Fourth Proportional to 82,242.35, 113,494.50 and 46,431.57

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Solution

The fourth proportional to 82,242.35, 113,494.50 and 46,431.57 is: 64,075.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,242.35 : 113,494.50 = 46,431.57 : x
  2. Step 2: Convert to fraction form
    82,242.35/113,494.50 = 46,431.57/x
  3. Step 3: Cross multiply
    82,242.35x = 113,494.50 × 46,431.57
  4. Step 4: Simplify right side
    82,242.35x = 5,269,727,821.37
  5. Step 5: Solve for x
    x = 5,269,727,821.37/82,242.35
  6. Step 6: Final answer
    x = 64,075.60

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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.