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Finding the Fourth Proportional to 50,249.84, 69,347.16 and 27,894

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Solution

The fourth proportional to 50,249.84, 69,347.16 and 27,894 is: 38,495.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,249.84 : 69,347.16 = 27,894 : x
  2. Step 2: Convert to fraction form
    50,249.84/69,347.16 = 27,894/x
  3. Step 3: Cross multiply
    50,249.84x = 69,347.16 × 27,894
  4. Step 4: Simplify right side
    50,249.84x = 1,934,369,681.04
  5. Step 5: Solve for x
    x = 1,934,369,681.04/50,249.84
  6. Step 6: Final answer
    x = 38,495.04

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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.