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Finding the Fourth Proportional to 47,765.46, 65,911.10 and 27,619.29

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Solution

The fourth proportional to 47,765.46, 65,911.10 and 27,619.29 is: 38,111.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,765.46 : 65,911.10 = 27,619.29 : x
  2. Step 2: Convert to fraction form
    47,765.46/65,911.10 = 27,619.29/x
  3. Step 3: Cross multiply
    47,765.46x = 65,911.10 × 27,619.29
  4. Step 4: Simplify right side
    47,765.46x = 1,820,417,647.02
  5. Step 5: Solve for x
    x = 1,820,417,647.02/47,765.46
  6. Step 6: Final answer
    x = 38,111.59

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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.