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Finding the Fourth Proportional to 47,847.80, 66,027.16 and 27,703.28

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Solution

The fourth proportional to 47,847.80, 66,027.16 and 27,703.28 is: 38,228.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,847.80 : 66,027.16 = 27,703.28 : x
  2. Step 2: Convert to fraction form
    47,847.80/66,027.16 = 27,703.28/x
  3. Step 3: Cross multiply
    47,847.80x = 66,027.16 × 27,703.28
  4. Step 4: Simplify right side
    47,847.80x = 1,829,168,901.08
  5. Step 5: Solve for x
    x = 1,829,168,901.08/47,847.80
  6. Step 6: Final answer
    x = 38,228.90

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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.