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Finding the Fourth Proportional to 86,023.63, 118,708.77 and 47,785.84

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Solution

The fourth proportional to 86,023.63, 118,708.77 and 47,785.84 is: 65,942.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,023.63 : 118,708.77 = 47,785.84 : x
  2. Step 2: Convert to fraction form
    86,023.63/118,708.77 = 47,785.84/x
  3. Step 3: Cross multiply
    86,023.63x = 118,708.77 × 47,785.84
  4. Step 4: Simplify right side
    86,023.63x = 5,672,597,602.11
  5. Step 5: Solve for x
    x = 5,672,597,602.11/86,023.63
  6. Step 6: Final answer
    x = 65,942.32

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.