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Finding the Fourth Proportional to 47,441.76, 65,462.64 and 27,024

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Solution

The fourth proportional to 47,441.76, 65,462.64 and 27,024 is: 37,289.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,441.76 : 65,462.64 = 27,024 : x
  2. Step 2: Convert to fraction form
    47,441.76/65,462.64 = 27,024/x
  3. Step 3: Cross multiply
    47,441.76x = 65,462.64 × 27,024
  4. Step 4: Simplify right side
    47,441.76x = 1,769,062,383.36
  5. Step 5: Solve for x
    x = 1,769,062,383.36/47,441.76
  6. Step 6: Final answer
    x = 37,289.14

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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.