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Finding the Fourth Proportional to 122,446.84, 183,635.46 and 47,551

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Solution

The fourth proportional to 122,446.84, 183,635.46 and 47,551 is: 71,312.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,446.84 : 183,635.46 = 47,551 : x
  2. Step 2: Convert to fraction form
    122,446.84/183,635.46 = 47,551/x
  3. Step 3: Cross multiply
    122,446.84x = 183,635.46 × 47,551
  4. Step 4: Simplify right side
    122,446.84x = 8,732,049,758.46
  5. Step 5: Solve for x
    x = 8,732,049,758.46/122,446.84
  6. Step 6: Final answer
    x = 71,312.99

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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.