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Finding the Fourth Proportional to 90,174.84, 135,274.56 and 37,572

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Solution

The fourth proportional to 90,174.84, 135,274.56 and 37,572 is: 56,363.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,174.84 : 135,274.56 = 37,572 : x
  2. Step 2: Convert to fraction form
    90,174.84/135,274.56 = 37,572/x
  3. Step 3: Cross multiply
    90,174.84x = 135,274.56 × 37,572
  4. Step 4: Simplify right side
    90,174.84x = 5,082,535,768.32
  5. Step 5: Solve for x
    x = 5,082,535,768.32/90,174.84
  6. Step 6: Final answer
    x = 56,363.12

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.