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Finding the Fourth Proportional to 57,465.15, 79,300.74 and 31,971

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Solution

The fourth proportional to 57,465.15, 79,300.74 and 31,971 is: 44,119.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,465.15 : 79,300.74 = 31,971 : x
  2. Step 2: Convert to fraction form
    57,465.15/79,300.74 = 31,971/x
  3. Step 3: Cross multiply
    57,465.15x = 79,300.74 × 31,971
  4. Step 4: Simplify right side
    57,465.15x = 2,535,323,958.54
  5. Step 5: Solve for x
    x = 2,535,323,958.54/57,465.15
  6. Step 6: Final answer
    x = 44,119.33

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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.