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Finding the Fourth Proportional to 69,833, 104,814.30 and 32,413.16

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Solution

The fourth proportional to 69,833, 104,814.30 and 32,413.16 is: 48,649.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,833 : 104,814.30 = 32,413.16 : x
  2. Step 2: Convert to fraction form
    69,833/104,814.30 = 32,413.16/x
  3. Step 3: Cross multiply
    69,833x = 104,814.30 × 32,413.16
  4. Step 4: Simplify right side
    69,833x = 3,397,362,676.19
  5. Step 5: Solve for x
    x = 3,397,362,676.19/69,833
  6. Step 6: Final answer
    x = 48,649.82

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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.