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Finding the Fourth Proportional to 29,973.25, 44,960.70 and 9,196.75

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Solution

The fourth proportional to 29,973.25, 44,960.70 and 9,196.75 is: 13,795.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,973.25 : 44,960.70 = 9,196.75 : x
  2. Step 2: Convert to fraction form
    29,973.25/44,960.70 = 9,196.75/x
  3. Step 3: Cross multiply
    29,973.25x = 44,960.70 × 9,196.75
  4. Step 4: Simplify right side
    29,973.25x = 413,492,317.73
  5. Step 5: Solve for x
    x = 413,492,317.73/29,973.25
  6. Step 6: Final answer
    x = 13,795.38

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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.