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Finding the Fourth Proportional to 47,097.71, 64,932 and 40,354.46

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Solution

The fourth proportional to 47,097.71, 64,932 and 40,354.46 is: 55,635.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,097.71 : 64,932 = 40,354.46 : x
  2. Step 2: Convert to fraction form
    47,097.71/64,932 = 40,354.46/x
  3. Step 3: Cross multiply
    47,097.71x = 64,932 × 40,354.46
  4. Step 4: Simplify right side
    47,097.71x = 2,620,295,796.72
  5. Step 5: Solve for x
    x = 2,620,295,796.72/47,097.71
  6. Step 6: Final answer
    x = 55,635.31

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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.