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Finding the Fourth Proportional to 47,375.39, 65,375.70 and 27,218

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Solution

The fourth proportional to 47,375.39, 65,375.70 and 27,218 is: 37,559.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,375.39 : 65,375.70 = 27,218 : x
  2. Step 2: Convert to fraction form
    47,375.39/65,375.70 = 27,218/x
  3. Step 3: Cross multiply
    47,375.39x = 65,375.70 × 27,218
  4. Step 4: Simplify right side
    47,375.39x = 1,779,395,802.60
  5. Step 5: Solve for x
    x = 1,779,395,802.60/47,375.39
  6. Step 6: Final answer
    x = 37,559.50

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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.