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Finding the Fourth Proportional to 47,692.66, 65,800.64 and 27,546.88

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Solution

The fourth proportional to 47,692.66, 65,800.64 and 27,546.88 is: 38,005.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,692.66 : 65,800.64 = 27,546.88 : x
  2. Step 2: Convert to fraction form
    47,692.66/65,800.64 = 27,546.88/x
  3. Step 3: Cross multiply
    47,692.66x = 65,800.64 × 27,546.88
  4. Step 4: Simplify right side
    47,692.66x = 1,812,602,334.00
  5. Step 5: Solve for x
    x = 1,812,602,334.00/47,692.66
  6. Step 6: Final answer
    x = 38,005.90

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1.5x scale

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.