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Finding the Fourth Proportional to 114,033.30, 171,053.46 and 39,152.49

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Solution

The fourth proportional to 114,033.30, 171,053.46 and 39,152.49 is: 58,729.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,033.30 : 171,053.46 = 39,152.49 : x
  2. Step 2: Convert to fraction form
    114,033.30/171,053.46 = 39,152.49/x
  3. Step 3: Cross multiply
    114,033.30x = 171,053.46 × 39,152.49
  4. Step 4: Simplify right side
    114,033.30x = 6,697,168,882.12
  5. Step 5: Solve for x
    x = 6,697,168,882.12/114,033.30
  6. Step 6: Final answer
    x = 58,729.94

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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.