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Finding the Fourth Proportional to 104,221.52, 156,239.52 and 37,646.80

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Solution

The fourth proportional to 104,221.52, 156,239.52 and 37,646.80 is: 56,436.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,221.52 : 156,239.52 = 37,646.80 : x
  2. Step 2: Convert to fraction form
    104,221.52/156,239.52 = 37,646.80/x
  3. Step 3: Cross multiply
    104,221.52x = 156,239.52 × 37,646.80
  4. Step 4: Simplify right side
    104,221.52x = 5,881,917,961.54
  5. Step 5: Solve for x
    x = 5,881,917,961.54/104,221.52
  6. Step 6: Final answer
    x = 56,436.69

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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.