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Finding the Fourth Proportional to 49,692.48, 74,551.68 and 18,528

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Solution

The fourth proportional to 49,692.48, 74,551.68 and 18,528 is: 27,796.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,692.48 : 74,551.68 = 18,528 : x
  2. Step 2: Convert to fraction form
    49,692.48/74,551.68 = 18,528/x
  3. Step 3: Cross multiply
    49,692.48x = 74,551.68 × 18,528
  4. Step 4: Simplify right side
    49,692.48x = 1,381,293,527.04
  5. Step 5: Solve for x
    x = 1,381,293,527.04/49,692.48
  6. Step 6: Final answer
    x = 27,796.83

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Why These Related Problems?

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