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Finding the Fourth Proportional to 34,570.80, 47,705.76 and 20,424.96

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Solution

The fourth proportional to 34,570.80, 47,705.76 and 20,424.96 is: 28,185.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,570.80 : 47,705.76 = 20,424.96 : x
  2. Step 2: Convert to fraction form
    34,570.80/47,705.76 = 20,424.96/x
  3. Step 3: Cross multiply
    34,570.80x = 47,705.76 × 20,424.96
  4. Step 4: Simplify right side
    34,570.80x = 974,388,239.77
  5. Step 5: Solve for x
    x = 974,388,239.77/34,570.80
  6. Step 6: Final answer
    x = 28,185.30

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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.