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Finding the Fourth Proportional to 42,096, 58,093.29 and 23,232.72

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Solution

The fourth proportional to 42,096, 58,093.29 and 23,232.72 is: 32,061.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,096 : 58,093.29 = 23,232.72 : x
  2. Step 2: Convert to fraction form
    42,096/58,093.29 = 23,232.72/x
  3. Step 3: Cross multiply
    42,096x = 58,093.29 × 23,232.72
  4. Step 4: Simplify right side
    42,096x = 1,349,665,140.45
  5. Step 5: Solve for x
    x = 1,349,665,140.45/42,096
  6. Step 6: Final answer
    x = 32,061.60

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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.