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Finding the Fourth Proportional to 80,784, 121,176 and 25,380

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Solution

The fourth proportional to 80,784, 121,176 and 25,380 is: 38,070

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,784 : 121,176 = 25,380 : x
  2. Step 2: Convert to fraction form
    80,784/121,176 = 25,380/x
  3. Step 3: Cross multiply
    80,784x = 121,176 × 25,380
  4. Step 4: Simplify right side
    80,784x = 3,075,446,880
  5. Step 5: Solve for x
    x = 3,075,446,880/80,784
  6. Step 6: Final answer
    x = 38,070

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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.