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Finding the Fourth Proportional to 50,204.51, 69,286.70 and 27,547.91

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Solution

The fourth proportional to 50,204.51, 69,286.70 and 27,547.91 is: 38,018.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,204.51 : 69,286.70 = 27,547.91 : x
  2. Step 2: Convert to fraction form
    50,204.51/69,286.70 = 27,547.91/x
  3. Step 3: Cross multiply
    50,204.51x = 69,286.70 × 27,547.91
  4. Step 4: Simplify right side
    50,204.51x = 1,908,703,291.62
  5. Step 5: Solve for x
    x = 1,908,703,291.62/50,204.51
  6. Step 6: Final answer
    x = 38,018.57

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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.