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Finding the Fourth Proportional to 47,765.16, 65,917.26 and 27,620.10

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Solution

The fourth proportional to 47,765.16, 65,917.26 and 27,620.10 is: 38,116.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,765.16 : 65,917.26 = 27,620.10 : x
  2. Step 2: Convert to fraction form
    47,765.16/65,917.26 = 27,620.10/x
  3. Step 3: Cross multiply
    47,765.16x = 65,917.26 × 27,620.10
  4. Step 4: Simplify right side
    47,765.16x = 1,820,641,312.93
  5. Step 5: Solve for x
    x = 1,820,641,312.93/47,765.16
  6. Step 6: Final answer
    x = 38,116.51

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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.