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Finding the Fourth Proportional to 29,382.38, 40,551.40 and 18,206.06

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Solution

The fourth proportional to 29,382.38, 40,551.40 and 18,206.06 is: 25,126.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,382.38 : 40,551.40 = 18,206.06 : x
  2. Step 2: Convert to fraction form
    29,382.38/40,551.40 = 18,206.06/x
  3. Step 3: Cross multiply
    29,382.38x = 40,551.40 × 18,206.06
  4. Step 4: Simplify right side
    29,382.38x = 738,281,221.48
  5. Step 5: Solve for x
    x = 738,281,221.48/29,382.38
  6. Step 6: Final answer
    x = 25,126.67

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Why These Related Problems?

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