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Finding the Fourth Proportional to 182,684.46, 274,026.82 and 49,564.71

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Solution

The fourth proportional to 182,684.46, 274,026.82 and 49,564.71 is: 74,347.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,684.46 : 274,026.82 = 49,564.71 : x
  2. Step 2: Convert to fraction form
    182,684.46/274,026.82 = 49,564.71/x
  3. Step 3: Cross multiply
    182,684.46x = 274,026.82 × 49,564.71
  4. Step 4: Simplify right side
    182,684.46x = 13,582,059,865.52
  5. Step 5: Solve for x
    x = 13,582,059,865.52/182,684.46
  6. Step 6: Final answer
    x = 74,347.10

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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.