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Finding the Fourth Proportional to 57,094.48, 78,790.48 and 31,944

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Solution

The fourth proportional to 57,094.48, 78,790.48 and 31,944 is: 44,082.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,094.48 : 78,790.48 = 31,944 : x
  2. Step 2: Convert to fraction form
    57,094.48/78,790.48 = 31,944/x
  3. Step 3: Cross multiply
    57,094.48x = 78,790.48 × 31,944
  4. Step 4: Simplify right side
    57,094.48x = 2,516,883,093.12
  5. Step 5: Solve for x
    x = 2,516,883,093.12/57,094.48
  6. Step 6: Final answer
    x = 44,082.77

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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.