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Finding the Fourth Proportional to 72,770, 100,448.52 and 42,962

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Solution

The fourth proportional to 72,770, 100,448.52 and 42,962 is: 59,302.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,770 : 100,448.52 = 42,962 : x
  2. Step 2: Convert to fraction form
    72,770/100,448.52 = 42,962/x
  3. Step 3: Cross multiply
    72,770x = 100,448.52 × 42,962
  4. Step 4: Simplify right side
    72,770x = 4,315,469,316.24
  5. Step 5: Solve for x
    x = 4,315,469,316.24/72,770
  6. Step 6: Final answer
    x = 59,302.86

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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.