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Finding the Fourth Proportional to 50,465.68, 69,642.31 and 27,804.16

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Solution

The fourth proportional to 50,465.68, 69,642.31 and 27,804.16 is: 38,369.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,465.68 : 69,642.31 = 27,804.16 : x
  2. Step 2: Convert to fraction form
    50,465.68/69,642.31 = 27,804.16/x
  3. Step 3: Cross multiply
    50,465.68x = 69,642.31 × 27,804.16
  4. Step 4: Simplify right side
    50,465.68x = 1,936,345,921.49
  5. Step 5: Solve for x
    x = 1,936,345,921.49/50,465.68
  6. Step 6: Final answer
    x = 38,369.56

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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.