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Finding the Fourth Proportional to 67,419.36, 101,143.44 and 25,866

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Solution

The fourth proportional to 67,419.36, 101,143.44 and 25,866 is: 38,804.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,419.36 : 101,143.44 = 25,866 : x
  2. Step 2: Convert to fraction form
    67,419.36/101,143.44 = 25,866/x
  3. Step 3: Cross multiply
    67,419.36x = 101,143.44 × 25,866
  4. Step 4: Simplify right side
    67,419.36x = 2,616,176,219.04
  5. Step 5: Solve for x
    x = 2,616,176,219.04/67,419.36
  6. Step 6: Final answer
    x = 38,804.52

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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.