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Finding the Fourth Proportional to 118,672.54, 178,081.49 and 47,587.64

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Solution

The fourth proportional to 118,672.54, 178,081.49 and 47,587.64 is: 71,410.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,672.54 : 178,081.49 = 47,587.64 : x
  2. Step 2: Convert to fraction form
    118,672.54/178,081.49 = 47,587.64/x
  3. Step 3: Cross multiply
    118,672.54x = 178,081.49 × 47,587.64
  4. Step 4: Simplify right side
    118,672.54x = 8,474,477,548.95
  5. Step 5: Solve for x
    x = 8,474,477,548.95/118,672.54
  6. Step 6: Final answer
    x = 71,410.60

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.