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Finding the Fourth Proportional to 47,692.74, 65,808.68 and 28,568.03

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Solution

The fourth proportional to 47,692.74, 65,808.68 and 28,568.03 is: 39,419.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,692.74 : 65,808.68 = 28,568.03 : x
  2. Step 2: Convert to fraction form
    47,692.74/65,808.68 = 28,568.03/x
  3. Step 3: Cross multiply
    47,692.74x = 65,808.68 × 28,568.03
  4. Step 4: Simplify right side
    47,692.74x = 1,880,024,366.18
  5. Step 5: Solve for x
    x = 1,880,024,366.18/47,692.74
  6. Step 6: Final answer
    x = 39,419.51

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.