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Finding the Fourth Proportional to 47,765.53, 65,911.18 and 27,619.36

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Solution

The fourth proportional to 47,765.53, 65,911.18 and 27,619.36 is: 38,111.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,765.53 : 65,911.18 = 27,619.36 : x
  2. Step 2: Convert to fraction form
    47,765.53/65,911.18 = 27,619.36/x
  3. Step 3: Cross multiply
    47,765.53x = 65,911.18 × 27,619.36
  4. Step 4: Simplify right side
    47,765.53x = 1,820,424,278.89
  5. Step 5: Solve for x
    x = 1,820,424,278.89/47,765.53
  6. Step 6: Final answer
    x = 38,111.68

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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.