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Finding the Fourth Proportional to 31,328.75, 46,993.13 and 10,552.25

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Solution

The fourth proportional to 31,328.75, 46,993.13 and 10,552.25 is: 15,828.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,328.75 : 46,993.13 = 10,552.25 : x
  2. Step 2: Convert to fraction form
    31,328.75/46,993.13 = 10,552.25/x
  3. Step 3: Cross multiply
    31,328.75x = 46,993.13 × 10,552.25
  4. Step 4: Simplify right side
    31,328.75x = 495,883,256.04
  5. Step 5: Solve for x
    x = 495,883,256.04/31,328.75
  6. Step 6: Final answer
    x = 15,828.38

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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.