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Finding the Fourth Proportional to 50,140.68, 69,194.16 and 27,784.68

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Solution

The fourth proportional to 50,140.68, 69,194.16 and 27,784.68 is: 38,342.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,140.68 : 69,194.16 = 27,784.68 : x
  2. Step 2: Convert to fraction form
    50,140.68/69,194.16 = 27,784.68/x
  3. Step 3: Cross multiply
    50,140.68x = 69,194.16 × 27,784.68
  4. Step 4: Simplify right side
    50,140.68x = 1,922,537,593.47
  5. Step 5: Solve for x
    x = 1,922,537,593.47/50,140.68
  6. Step 6: Final answer
    x = 38,342.87

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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.