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Finding the Fourth Proportional to 32,969.49, 45,497.53 and 17,861.77

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Solution

The fourth proportional to 32,969.49, 45,497.53 and 17,861.77 is: 24,649.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,969.49 : 45,497.53 = 17,861.77 : x
  2. Step 2: Convert to fraction form
    32,969.49/45,497.53 = 17,861.77/x
  3. Step 3: Cross multiply
    32,969.49x = 45,497.53 × 17,861.77
  4. Step 4: Simplify right side
    32,969.49x = 812,666,416.43
  5. Step 5: Solve for x
    x = 812,666,416.43/32,969.49
  6. Step 6: Final answer
    x = 24,649.04

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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.