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Finding the Fourth Proportional to 29,632.34, 40,892.74 and 17,057

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Solution

The fourth proportional to 29,632.34, 40,892.74 and 17,057 is: 23,538.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,632.34 : 40,892.74 = 17,057 : x
  2. Step 2: Convert to fraction form
    29,632.34/40,892.74 = 17,057/x
  3. Step 3: Cross multiply
    29,632.34x = 40,892.74 × 17,057
  4. Step 4: Simplify right side
    29,632.34x = 697,507,466.18
  5. Step 5: Solve for x
    x = 697,507,466.18/29,632.34
  6. Step 6: Final answer
    x = 23,538.72

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.