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Finding the Fourth Proportional to 32,857.49, 45,296.12 and 23,409.65

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Solution

The fourth proportional to 32,857.49, 45,296.12 and 23,409.65 is: 32,271.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,857.49 : 45,296.12 = 23,409.65 : x
  2. Step 2: Convert to fraction form
    32,857.49/45,296.12 = 23,409.65/x
  3. Step 3: Cross multiply
    32,857.49x = 45,296.12 × 23,409.65
  4. Step 4: Simplify right side
    32,857.49x = 1,060,366,315.56
  5. Step 5: Solve for x
    x = 1,060,366,315.56/32,857.49
  6. Step 6: Final answer
    x = 32,271.68

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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.