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Finding the Fourth Proportional to 29,140.14, 40,214.40 and 18,529.54

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Solution

The fourth proportional to 29,140.14, 40,214.40 and 18,529.54 is: 25,571.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,140.14 : 40,214.40 = 18,529.54 : x
  2. Step 2: Convert to fraction form
    29,140.14/40,214.40 = 18,529.54/x
  3. Step 3: Cross multiply
    29,140.14x = 40,214.40 × 18,529.54
  4. Step 4: Simplify right side
    29,140.14x = 745,154,333.38
  5. Step 5: Solve for x
    x = 745,154,333.38/29,140.14
  6. Step 6: Final answer
    x = 25,571.41

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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.