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Finding the Fourth Proportional to 34,571.64, 47,701.26 and 20,417.16

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Solution

The fourth proportional to 34,571.64, 47,701.26 and 20,417.16 is: 28,171.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,571.64 : 47,701.26 = 20,417.16 : x
  2. Step 2: Convert to fraction form
    34,571.64/47,701.26 = 20,417.16/x
  3. Step 3: Cross multiply
    34,571.64x = 47,701.26 × 20,417.16
  4. Step 4: Simplify right side
    34,571.64x = 973,924,257.62
  5. Step 5: Solve for x
    x = 973,924,257.62/34,571.64
  6. Step 6: Final answer
    x = 28,171.19

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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.