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Finding the Fourth Proportional to 34,104.18, 47,066.13 and 20,676

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Solution

The fourth proportional to 34,104.18, 47,066.13 and 20,676 is: 28,534.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,104.18 : 47,066.13 = 20,676 : x
  2. Step 2: Convert to fraction form
    34,104.18/47,066.13 = 20,676/x
  3. Step 3: Cross multiply
    34,104.18x = 47,066.13 × 20,676
  4. Step 4: Simplify right side
    34,104.18x = 973,139,303.88
  5. Step 5: Solve for x
    x = 973,139,303.88/34,104.18
  6. Step 6: Final answer
    x = 28,534.31

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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.