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Finding the Fourth Proportional to 47,201.42, 65,151.74 and 28,094.60

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Solution

The fourth proportional to 47,201.42, 65,151.74 and 28,094.60 is: 38,778.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,201.42 : 65,151.74 = 28,094.60 : x
  2. Step 2: Convert to fraction form
    47,201.42/65,151.74 = 28,094.60/x
  3. Step 3: Cross multiply
    47,201.42x = 65,151.74 × 28,094.60
  4. Step 4: Simplify right side
    47,201.42x = 1,830,412,074.60
  5. Step 5: Solve for x
    x = 1,830,412,074.60/47,201.42
  6. Step 6: Final answer
    x = 38,778.75

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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.