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Finding the Fourth Proportional to 114,751.52, 172,127.06 and 30,511.70

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Solution

The fourth proportional to 114,751.52, 172,127.06 and 30,511.70 is: 45,767.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,751.52 : 172,127.06 = 30,511.70 : x
  2. Step 2: Convert to fraction form
    114,751.52/172,127.06 = 30,511.70/x
  3. Step 3: Cross multiply
    114,751.52x = 172,127.06 × 30,511.70
  4. Step 4: Simplify right side
    114,751.52x = 5,251,889,216.60
  5. Step 5: Solve for x
    x = 5,251,889,216.60/114,751.52
  6. Step 6: Final answer
    x = 45,767.49

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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.