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Finding the Fourth Proportional to 29,968.04, 44,950.98 and 9,191

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Solution

The fourth proportional to 29,968.04, 44,950.98 and 9,191 is: 13,786.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,968.04 : 44,950.98 = 9,191 : x
  2. Step 2: Convert to fraction form
    29,968.04/44,950.98 = 9,191/x
  3. Step 3: Cross multiply
    29,968.04x = 44,950.98 × 9,191
  4. Step 4: Simplify right side
    29,968.04x = 413,144,457.18
  5. Step 5: Solve for x
    x = 413,144,457.18/29,968.04
  6. Step 6: Final answer
    x = 13,786.17

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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.