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Finding the Fourth Proportional to 57,094.12, 78,790.08 and 31,942

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Solution

The fourth proportional to 57,094.12, 78,790.08 and 31,942 is: 44,080.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,094.12 : 78,790.08 = 31,942 : x
  2. Step 2: Convert to fraction form
    57,094.12/78,790.08 = 31,942/x
  3. Step 3: Cross multiply
    57,094.12x = 78,790.08 × 31,942
  4. Step 4: Simplify right side
    57,094.12x = 2,516,712,735.36
  5. Step 5: Solve for x
    x = 2,516,712,735.36/57,094.12
  6. Step 6: Final answer
    x = 44,080.07

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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.