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Finding the Fourth Proportional to 67,333, 101,014.08 and 25,780

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Solution

The fourth proportional to 67,333, 101,014.08 and 25,780 is: 38,675.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,333 : 101,014.08 = 25,780 : x
  2. Step 2: Convert to fraction form
    67,333/101,014.08 = 25,780/x
  3. Step 3: Cross multiply
    67,333x = 101,014.08 × 25,780
  4. Step 4: Simplify right side
    67,333x = 2,604,142,982.40
  5. Step 5: Solve for x
    x = 2,604,142,982.40/67,333
  6. Step 6: Final answer
    x = 38,675.58

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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.