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Finding the Fourth Proportional to 180,912, 271,368 and 49,584

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Solution

The fourth proportional to 180,912, 271,368 and 49,584 is: 74,376

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,912 : 271,368 = 49,584 : x
  2. Step 2: Convert to fraction form
    180,912/271,368 = 49,584/x
  3. Step 3: Cross multiply
    180,912x = 271,368 × 49,584
  4. Step 4: Simplify right side
    180,912x = 13,455,510,912
  5. Step 5: Solve for x
    x = 13,455,510,912/180,912
  6. Step 6: Final answer
    x = 74,376

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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.