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Finding the Fourth Proportional to 34,437.65, 47,518.31 and 20,288.57

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Solution

The fourth proportional to 34,437.65, 47,518.31 and 20,288.57 is: 27,994.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,437.65 : 47,518.31 = 20,288.57 : x
  2. Step 2: Convert to fraction form
    34,437.65/47,518.31 = 20,288.57/x
  3. Step 3: Cross multiply
    34,437.65x = 47,518.31 × 20,288.57
  4. Step 4: Simplify right side
    34,437.65x = 964,078,371.85
  5. Step 5: Solve for x
    x = 964,078,371.85/34,437.65
  6. Step 6: Final answer
    x = 27,994.90

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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.