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Finding the Fourth Proportional to 104,651.52, 156,955.14 and 34,514.16

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Solution

The fourth proportional to 104,651.52, 156,955.14 and 34,514.16 is: 51,763.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,651.52 : 156,955.14 = 34,514.16 : x
  2. Step 2: Convert to fraction form
    104,651.52/156,955.14 = 34,514.16/x
  3. Step 3: Cross multiply
    104,651.52x = 156,955.14 × 34,514.16
  4. Step 4: Simplify right side
    104,651.52x = 5,417,174,814.78
  5. Step 5: Solve for x
    x = 5,417,174,814.78/104,651.52
  6. Step 6: Final answer
    x = 51,763.94

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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.