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Finding the Fourth Proportional to 47,090.97, 70,519.01 and 32,984.82

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Solution

The fourth proportional to 47,090.97, 70,519.01 and 32,984.82 is: 49,394.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,090.97 : 70,519.01 = 32,984.82 : x
  2. Step 2: Convert to fraction form
    47,090.97/70,519.01 = 32,984.82/x
  3. Step 3: Cross multiply
    47,090.97x = 70,519.01 × 32,984.82
  4. Step 4: Simplify right side
    47,090.97x = 2,326,056,686.50
  5. Step 5: Solve for x
    x = 2,326,056,686.50/47,090.97
  6. Step 6: Final answer
    x = 49,394.96

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