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Finding the Fourth Proportional to 50,013, 69,017.94 and 27,657

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Solution

The fourth proportional to 50,013, 69,017.94 and 27,657 is: 38,166.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,013 : 69,017.94 = 27,657 : x
  2. Step 2: Convert to fraction form
    50,013/69,017.94 = 27,657/x
  3. Step 3: Cross multiply
    50,013x = 69,017.94 × 27,657
  4. Step 4: Simplify right side
    50,013x = 1,908,829,166.58
  5. Step 5: Solve for x
    x = 1,908,829,166.58/50,013
  6. Step 6: Final answer
    x = 38,166.66

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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.