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Finding the Fourth Proportional to 57,055.40, 78,738.60 and 31,904.84

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Solution

The fourth proportional to 57,055.40, 78,738.60 and 31,904.84 is: 44,029.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,055.40 : 78,738.60 = 31,904.84 : x
  2. Step 2: Convert to fraction form
    57,055.40/78,738.60 = 31,904.84/x
  3. Step 3: Cross multiply
    57,055.40x = 78,738.60 × 31,904.84
  4. Step 4: Simplify right side
    57,055.40x = 2,512,142,434.82
  5. Step 5: Solve for x
    x = 2,512,142,434.82/57,055.40
  6. Step 6: Final answer
    x = 44,029.88

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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.