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Finding the Fourth Proportional to 84,625.70, 116,779.38 and 48,827.26

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Solution

The fourth proportional to 84,625.70, 116,779.38 and 48,827.26 is: 67,379.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,625.70 : 116,779.38 = 48,827.26 : x
  2. Step 2: Convert to fraction form
    84,625.70/116,779.38 = 48,827.26/x
  3. Step 3: Cross multiply
    84,625.70x = 116,779.38 × 48,827.26
  4. Step 4: Simplify right side
    84,625.70x = 5,702,016,566.00
  5. Step 5: Solve for x
    x = 5,702,016,566.00/84,625.70
  6. Step 6: Final answer
    x = 67,379.25

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.