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Finding the Fourth Proportional to 69,668.76, 96,145.50 and 39,855

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Solution

The fourth proportional to 69,668.76, 96,145.50 and 39,855 is: 55,001.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,668.76 : 96,145.50 = 39,855 : x
  2. Step 2: Convert to fraction form
    69,668.76/96,145.50 = 39,855/x
  3. Step 3: Cross multiply
    69,668.76x = 96,145.50 × 39,855
  4. Step 4: Simplify right side
    69,668.76x = 3,831,878,902.50
  5. Step 5: Solve for x
    x = 3,831,878,902.50/69,668.76
  6. Step 6: Final answer
    x = 55,001.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.