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Finding the Fourth Proportional to 104,871.98, 157,310.70 and 25,985.06

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Solution

The fourth proportional to 104,871.98, 157,310.70 and 25,985.06 is: 38,978.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,871.98 : 157,310.70 = 25,985.06 : x
  2. Step 2: Convert to fraction form
    104,871.98/157,310.70 = 25,985.06/x
  3. Step 3: Cross multiply
    104,871.98x = 157,310.70 × 25,985.06
  4. Step 4: Simplify right side
    104,871.98x = 4,087,727,978.14
  5. Step 5: Solve for x
    x = 4,087,727,978.14/104,871.98
  6. Step 6: Final answer
    x = 38,978.27

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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.