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Finding the Fourth Proportional to 99,752.94, 149,504.49 and 49,847.04

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Solution

The fourth proportional to 99,752.94, 149,504.49 and 49,847.04 is: 74,708.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,752.94 : 149,504.49 = 49,847.04 : x
  2. Step 2: Convert to fraction form
    99,752.94/149,504.49 = 49,847.04/x
  3. Step 3: Cross multiply
    99,752.94x = 149,504.49 × 49,847.04
  4. Step 4: Simplify right side
    99,752.94x = 7,452,356,293.21
  5. Step 5: Solve for x
    x = 7,452,356,293.21/99,752.94
  6. Step 6: Final answer
    x = 74,708.14

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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.