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Finding the Fourth Proportional to 96,104.70, 144,156.70 and 25,984

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Solution

The fourth proportional to 96,104.70, 144,156.70 and 25,984 is: 38,975.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,104.70 : 144,156.70 = 25,984 : x
  2. Step 2: Convert to fraction form
    96,104.70/144,156.70 = 25,984/x
  3. Step 3: Cross multiply
    96,104.70x = 144,156.70 × 25,984
  4. Step 4: Simplify right side
    96,104.70x = 3,745,767,692.80
  5. Step 5: Solve for x
    x = 3,745,767,692.80/96,104.70
  6. Step 6: Final answer
    x = 38,975.91

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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.