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Finding the Fourth Proportional to 98,015.97, 147,006.37 and 25,969.37

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Solution

The fourth proportional to 98,015.97, 147,006.37 and 25,969.37 is: 38,949.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,015.97 : 147,006.37 = 25,969.37 : x
  2. Step 2: Convert to fraction form
    98,015.97/147,006.37 = 25,969.37/x
  3. Step 3: Cross multiply
    98,015.97x = 147,006.37 × 25,969.37
  4. Step 4: Simplify right side
    98,015.97x = 3,817,662,814.89
  5. Step 5: Solve for x
    x = 3,817,662,814.89/98,015.97
  6. Step 6: Final answer
    x = 38,949.40

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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.