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Finding the Fourth Proportional to 31,334.94, 46,993.08 and 9,142.35

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Solution

The fourth proportional to 31,334.94, 46,993.08 and 9,142.35 is: 13,710.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,334.94 : 46,993.08 = 9,142.35 : x
  2. Step 2: Convert to fraction form
    31,334.94/46,993.08 = 9,142.35/x
  3. Step 3: Cross multiply
    31,334.94x = 46,993.08 × 9,142.35
  4. Step 4: Simplify right side
    31,334.94x = 429,627,184.94
  5. Step 5: Solve for x
    x = 429,627,184.94/31,334.94
  6. Step 6: Final answer
    x = 13,710.80

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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.