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Finding the Fourth Proportional to 114,751.30, 172,127.09 and 35,865.94

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Solution

The fourth proportional to 114,751.30, 172,127.09 and 35,865.94 is: 53,798.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,751.30 : 172,127.09 = 35,865.94 : x
  2. Step 2: Convert to fraction form
    114,751.30/172,127.09 = 35,865.94/x
  3. Step 3: Cross multiply
    114,751.30x = 172,127.09 × 35,865.94
  4. Step 4: Simplify right side
    114,751.30x = 6,173,499,882.31
  5. Step 5: Solve for x
    x = 6,173,499,882.31/114,751.30
  6. Step 6: Final answer
    x = 53,798.95

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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.