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Finding the Fourth Proportional to 104,394, 156,514.32 and 33,275.69

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Solution

The fourth proportional to 104,394, 156,514.32 and 33,275.69 is: 49,889.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,394 : 156,514.32 = 33,275.69 : x
  2. Step 2: Convert to fraction form
    104,394/156,514.32 = 33,275.69/x
  3. Step 3: Cross multiply
    104,394x = 156,514.32 × 33,275.69
  4. Step 4: Simplify right side
    104,394x = 5,208,122,384.17
  5. Step 5: Solve for x
    x = 5,208,122,384.17/104,394
  6. Step 6: Final answer
    x = 49,889.10

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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.