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Finding the Fourth Proportional to 50,203.75, 69,285.66 and 27,547.15

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Solution

The fourth proportional to 50,203.75, 69,285.66 and 27,547.15 is: 38,017.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,203.75 : 69,285.66 = 27,547.15 : x
  2. Step 2: Convert to fraction form
    50,203.75/69,285.66 = 27,547.15/x
  3. Step 3: Cross multiply
    50,203.75x = 69,285.66 × 27,547.15
  4. Step 4: Simplify right side
    50,203.75x = 1,908,622,735.77
  5. Step 5: Solve for x
    x = 1,908,622,735.77/50,203.75
  6. Step 6: Final answer
    x = 38,017.53

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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.