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Finding the Fourth Proportional to 31,012.57, 46,520.30 and 9,953.47

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Solution

The fourth proportional to 31,012.57, 46,520.30 and 9,953.47 is: 14,930.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,012.57 : 46,520.30 = 9,953.47 : x
  2. Step 2: Convert to fraction form
    31,012.57/46,520.30 = 9,953.47/x
  3. Step 3: Cross multiply
    31,012.57x = 46,520.30 × 9,953.47
  4. Step 4: Simplify right side
    31,012.57x = 463,038,410.44
  5. Step 5: Solve for x
    x = 463,038,410.44/31,012.57
  6. Step 6: Final answer
    x = 14,930.67

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.