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Finding the Fourth Proportional to 123,834.84, 185,752.26 and 49,911

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Solution

The fourth proportional to 123,834.84, 185,752.26 and 49,911 is: 74,866.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,834.84 : 185,752.26 = 49,911 : x
  2. Step 2: Convert to fraction form
    123,834.84/185,752.26 = 49,911/x
  3. Step 3: Cross multiply
    123,834.84x = 185,752.26 × 49,911
  4. Step 4: Simplify right side
    123,834.84x = 9,271,081,048.86
  5. Step 5: Solve for x
    x = 9,271,081,048.86/123,834.84
  6. Step 6: Final answer
    x = 74,866.50

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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.