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Finding the Fourth Proportional to 57,465.72, 79,297.56 and 31,971.24

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Solution

The fourth proportional to 57,465.72, 79,297.56 and 31,971.24 is: 44,117.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,465.72 : 79,297.56 = 31,971.24 : x
  2. Step 2: Convert to fraction form
    57,465.72/79,297.56 = 31,971.24/x
  3. Step 3: Cross multiply
    57,465.72x = 79,297.56 × 31,971.24
  4. Step 4: Simplify right side
    57,465.72x = 2,535,241,322.17
  5. Step 5: Solve for x
    x = 2,535,241,322.17/57,465.72
  6. Step 6: Final answer
    x = 44,117.46

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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.