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Finding the Fourth Proportional to 78,843.75, 118,282.91 and 29,595.75

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Solution

The fourth proportional to 78,843.75, 118,282.91 and 29,595.75 is: 44,400.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,843.75 : 118,282.91 = 29,595.75 : x
  2. Step 2: Convert to fraction form
    78,843.75/118,282.91 = 29,595.75/x
  3. Step 3: Cross multiply
    78,843.75x = 118,282.91 × 29,595.75
  4. Step 4: Simplify right side
    78,843.75x = 3,500,671,433.63
  5. Step 5: Solve for x
    x = 3,500,671,433.63/78,843.75
  6. Step 6: Final answer
    x = 44,400.11

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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.