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Finding the Fourth Proportional to 78,843.25, 118,282.16 and 29,595.25

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Solution

The fourth proportional to 78,843.25, 118,282.16 and 29,595.25 is: 44,399.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,843.25 : 118,282.16 = 29,595.25 : x
  2. Step 2: Convert to fraction form
    78,843.25/118,282.16 = 29,595.25/x
  3. Step 3: Cross multiply
    78,843.25x = 118,282.16 × 29,595.25
  4. Step 4: Simplify right side
    78,843.25x = 3,500,590,095.74
  5. Step 5: Solve for x
    x = 3,500,590,095.74/78,843.25
  6. Step 6: Final answer
    x = 44,399.36

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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.