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Finding the Fourth Proportional to 103,978.16, 155,967.23 and 25,092.39

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Solution

The fourth proportional to 103,978.16, 155,967.23 and 25,092.39 is: 37,638.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,978.16 : 155,967.23 = 25,092.39 : x
  2. Step 2: Convert to fraction form
    103,978.16/155,967.23 = 25,092.39/x
  3. Step 3: Cross multiply
    103,978.16x = 155,967.23 × 25,092.39
  4. Step 4: Simplify right side
    103,978.16x = 3,913,590,625.11
  5. Step 5: Solve for x
    x = 3,913,590,625.11/103,978.16
  6. Step 6: Final answer
    x = 37,638.59

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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.