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Finding the Fourth Proportional to 31,029.28, 46,542.92 and 9,969.23

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Solution

The fourth proportional to 31,029.28, 46,542.92 and 9,969.23 is: 14,953.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,029.28 : 46,542.92 = 9,969.23 : x
  2. Step 2: Convert to fraction form
    31,029.28/46,542.92 = 9,969.23/x
  3. Step 3: Cross multiply
    31,029.28x = 46,542.92 × 9,969.23
  4. Step 4: Simplify right side
    31,029.28x = 463,997,074.35
  5. Step 5: Solve for x
    x = 463,997,074.35/31,029.28
  6. Step 6: Final answer
    x = 14,953.53

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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.