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Finding the Fourth Proportional to 123,833.84, 185,750.76 and 49,910

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Solution

The fourth proportional to 123,833.84, 185,750.76 and 49,910 is: 74,865

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,833.84 : 185,750.76 = 49,910 : x
  2. Step 2: Convert to fraction form
    123,833.84/185,750.76 = 49,910/x
  3. Step 3: Cross multiply
    123,833.84x = 185,750.76 × 49,910
  4. Step 4: Simplify right side
    123,833.84x = 9,270,820,431.60
  5. Step 5: Solve for x
    x = 9,270,820,431.60/123,833.84
  6. Step 6: Final answer
    x = 74,865

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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.