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Finding the Fourth Proportional to 96,379.70, 144,486.38 and 46,391

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Solution

The fourth proportional to 96,379.70, 144,486.38 and 46,391 is: 69,546.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,379.70 : 144,486.38 = 46,391 : x
  2. Step 2: Convert to fraction form
    96,379.70/144,486.38 = 46,391/x
  3. Step 3: Cross multiply
    96,379.70x = 144,486.38 × 46,391
  4. Step 4: Simplify right side
    96,379.70x = 6,702,867,654.58
  5. Step 5: Solve for x
    x = 6,702,867,654.58/96,379.70
  6. Step 6: Final answer
    x = 69,546.47

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.