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Finding the Fourth Proportional to 42,216.32, 58,256.76 and 23,096

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Solution

The fourth proportional to 42,216.32, 58,256.76 and 23,096 is: 31,871.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,216.32 : 58,256.76 = 23,096 : x
  2. Step 2: Convert to fraction form
    42,216.32/58,256.76 = 23,096/x
  3. Step 3: Cross multiply
    42,216.32x = 58,256.76 × 23,096
  4. Step 4: Simplify right side
    42,216.32x = 1,345,498,128.96
  5. Step 5: Solve for x
    x = 1,345,498,128.96/42,216.32
  6. Step 6: Final answer
    x = 31,871.52

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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.