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Finding the Fourth Proportional to 50,496.46, 69,681.95 and 27,835.63

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Solution

The fourth proportional to 50,496.46, 69,681.95 and 27,835.63 is: 38,411.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,496.46 : 69,681.95 = 27,835.63 : x
  2. Step 2: Convert to fraction form
    50,496.46/69,681.95 = 27,835.63/x
  3. Step 3: Cross multiply
    50,496.46x = 69,681.95 × 27,835.63
  4. Step 4: Simplify right side
    50,496.46x = 1,939,640,977.88
  5. Step 5: Solve for x
    x = 1,939,640,977.88/50,496.46
  6. Step 6: Final answer
    x = 38,411.42

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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.