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Finding the Fourth Proportional to 30,956.10, 42,741 and 27,343.50

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Solution

The fourth proportional to 30,956.10, 42,741 and 27,343.50 is: 37,753.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,956.10 : 42,741 = 27,343.50 : x
  2. Step 2: Convert to fraction form
    30,956.10/42,741 = 27,343.50/x
  3. Step 3: Cross multiply
    30,956.10x = 42,741 × 27,343.50
  4. Step 4: Simplify right side
    30,956.10x = 1,168,688,533.50
  5. Step 5: Solve for x
    x = 1,168,688,533.50/30,956.10
  6. Step 6: Final answer
    x = 37,753.09

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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.