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Finding the Fourth Proportional to 69,841.80, 96,381.68 and 38,010

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Solution

The fourth proportional to 69,841.80, 96,381.68 and 38,010 is: 52,453.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,841.80 : 96,381.68 = 38,010 : x
  2. Step 2: Convert to fraction form
    69,841.80/96,381.68 = 38,010/x
  3. Step 3: Cross multiply
    69,841.80x = 96,381.68 × 38,010
  4. Step 4: Simplify right side
    69,841.80x = 3,663,467,656.80
  5. Step 5: Solve for x
    x = 3,663,467,656.80/69,841.80
  6. Step 6: Final answer
    x = 52,453.80

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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.