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Finding the Fourth Proportional to 82,158.88, 113,379.12 and 46,348.80

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Solution

The fourth proportional to 82,158.88, 113,379.12 and 46,348.80 is: 63,961.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,158.88 : 113,379.12 = 46,348.80 : x
  2. Step 2: Convert to fraction form
    82,158.88/113,379.12 = 46,348.80/x
  3. Step 3: Cross multiply
    82,158.88x = 113,379.12 × 46,348.80
  4. Step 4: Simplify right side
    82,158.88x = 5,254,986,157.06
  5. Step 5: Solve for x
    x = 5,254,986,157.06/82,158.88
  6. Step 6: Final answer
    x = 63,961.27

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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.