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Finding the Fourth Proportional to 47,391, 65,399.54 and 27,251.84

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Solution

The fourth proportional to 47,391, 65,399.54 and 27,251.84 is: 37,607.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,391 : 65,399.54 = 27,251.84 : x
  2. Step 2: Convert to fraction form
    47,391/65,399.54 = 27,251.84/x
  3. Step 3: Cross multiply
    47,391x = 65,399.54 × 27,251.84
  4. Step 4: Simplify right side
    47,391x = 1,782,257,800.15
  5. Step 5: Solve for x
    x = 1,782,257,800.15/47,391
  6. Step 6: Final answer
    x = 37,607.52

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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.