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Finding the Fourth Proportional to 123,832.84, 185,749.26 and 49,909

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Solution

The fourth proportional to 123,832.84, 185,749.26 and 49,909 is: 74,863.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,832.84 : 185,749.26 = 49,909 : x
  2. Step 2: Convert to fraction form
    123,832.84/185,749.26 = 49,909/x
  3. Step 3: Cross multiply
    123,832.84x = 185,749.26 × 49,909
  4. Step 4: Simplify right side
    123,832.84x = 9,270,559,817.34
  5. Step 5: Solve for x
    x = 9,270,559,817.34/123,832.84
  6. Step 6: Final answer
    x = 74,863.50

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1.5x scale

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.