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Finding the Fourth Proportional to 42,102.96, 58,076.84 and 30,758.56

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Solution

The fourth proportional to 42,102.96, 58,076.84 and 30,758.56 is: 42,428.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,102.96 : 58,076.84 = 30,758.56 : x
  2. Step 2: Convert to fraction form
    42,102.96/58,076.84 = 30,758.56/x
  3. Step 3: Cross multiply
    42,102.96x = 58,076.84 × 30,758.56
  4. Step 4: Simplify right side
    42,102.96x = 1,786,359,967.75
  5. Step 5: Solve for x
    x = 1,786,359,967.75/42,102.96
  6. Step 6: Final answer
    x = 42,428.37

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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.