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Finding the Fourth Proportional to 72,770.07, 100,422.54 and 40,939

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Solution

The fourth proportional to 72,770.07, 100,422.54 and 40,939 is: 56,495.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,770.07 : 100,422.54 = 40,939 : x
  2. Step 2: Convert to fraction form
    72,770.07/100,422.54 = 40,939/x
  3. Step 3: Cross multiply
    72,770.07x = 100,422.54 × 40,939
  4. Step 4: Simplify right side
    72,770.07x = 4,111,198,365.06
  5. Step 5: Solve for x
    x = 4,111,198,365.06/72,770.07
  6. Step 6: Final answer
    x = 56,495.74

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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.