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Finding the Fourth Proportional to 42,214.32, 58,254 and 23,094

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Solution

The fourth proportional to 42,214.32, 58,254 and 23,094 is: 31,868.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,214.32 : 58,254 = 23,094 : x
  2. Step 2: Convert to fraction form
    42,214.32/58,254 = 23,094/x
  3. Step 3: Cross multiply
    42,214.32x = 58,254 × 23,094
  4. Step 4: Simplify right side
    42,214.32x = 1,345,317,876
  5. Step 5: Solve for x
    x = 1,345,317,876/42,214.32
  6. Step 6: Final answer
    x = 31,868.76

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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.