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Finding the Fourth Proportional to 47,858.22, 66,026.62 and 47,784.41

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Solution

The fourth proportional to 47,858.22, 66,026.62 and 47,784.41 is: 65,924.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,858.22 : 66,026.62 = 47,784.41 : x
  2. Step 2: Convert to fraction form
    47,858.22/66,026.62 = 47,784.41/x
  3. Step 3: Cross multiply
    47,858.22x = 66,026.62 × 47,784.41
  4. Step 4: Simplify right side
    47,858.22x = 3,155,043,080.99
  5. Step 5: Solve for x
    x = 3,155,043,080.99/47,858.22
  6. Step 6: Final answer
    x = 65,924.79

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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.