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Finding the Fourth Proportional to 49,097.84, 67,751.78 and 28,953.78

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Solution

The fourth proportional to 49,097.84, 67,751.78 and 28,953.78 is: 39,954.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,097.84 : 67,751.78 = 28,953.78 : x
  2. Step 2: Convert to fraction form
    49,097.84/67,751.78 = 28,953.78/x
  3. Step 3: Cross multiply
    49,097.84x = 67,751.78 × 28,953.78
  4. Step 4: Simplify right side
    49,097.84x = 1,961,670,132.73
  5. Step 5: Solve for x
    x = 1,961,670,132.73/49,097.84
  6. Step 6: Final answer
    x = 39,954.31

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.