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Finding the Fourth Proportional to 182,424, 273,636 and 49,294.04

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Solution

The fourth proportional to 182,424, 273,636 and 49,294.04 is: 73,941.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,424 : 273,636 = 49,294.04 : x
  2. Step 2: Convert to fraction form
    182,424/273,636 = 49,294.04/x
  3. Step 3: Cross multiply
    182,424x = 273,636 × 49,294.04
  4. Step 4: Simplify right side
    182,424x = 13,488,623,929.44
  5. Step 5: Solve for x
    x = 13,488,623,929.44/182,424
  6. Step 6: Final answer
    x = 73,941.06

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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.