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Finding the Fourth Proportional to 30,457.40, 45,694.74 and 18,462.92

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Solution

The fourth proportional to 30,457.40, 45,694.74 and 18,462.92 is: 27,699.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,457.40 : 45,694.74 = 18,462.92 : x
  2. Step 2: Convert to fraction form
    30,457.40/45,694.74 = 18,462.92/x
  3. Step 3: Cross multiply
    30,457.40x = 45,694.74 × 18,462.92
  4. Step 4: Simplify right side
    30,457.40x = 843,658,329.04
  5. Step 5: Solve for x
    x = 843,658,329.04/30,457.40
  6. Step 6: Final answer
    x = 27,699.62

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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.