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Finding the Fourth Proportional to 96,648.84, 144,919.62 and 33,435

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Solution

The fourth proportional to 96,648.84, 144,919.62 and 33,435 is: 50,133.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,648.84 : 144,919.62 = 33,435 : x
  2. Step 2: Convert to fraction form
    96,648.84/144,919.62 = 33,435/x
  3. Step 3: Cross multiply
    96,648.84x = 144,919.62 × 33,435
  4. Step 4: Simplify right side
    96,648.84x = 4,845,387,494.70
  5. Step 5: Solve for x
    x = 4,845,387,494.70/96,648.84
  6. Step 6: Final answer
    x = 50,133.94

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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.