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Finding the Fourth Proportional to 114,343.81, 171,532.32 and 35,464.39

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Solution

The fourth proportional to 114,343.81, 171,532.32 and 35,464.39 is: 53,201.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,343.81 : 171,532.32 = 35,464.39 : x
  2. Step 2: Convert to fraction form
    114,343.81/171,532.32 = 35,464.39/x
  3. Step 3: Cross multiply
    114,343.81x = 171,532.32 × 35,464.39
  4. Step 4: Simplify right side
    114,343.81x = 6,083,289,094.08
  5. Step 5: Solve for x
    x = 6,083,289,094.08/114,343.81
  6. Step 6: Final answer
    x = 53,201.74

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.