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Finding the Fourth Proportional to 50,416.82, 69,573.98 and 27,755.63

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Solution

The fourth proportional to 50,416.82, 69,573.98 and 27,755.63 is: 38,302.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,416.82 : 69,573.98 = 27,755.63 : x
  2. Step 2: Convert to fraction form
    50,416.82/69,573.98 = 27,755.63/x
  3. Step 3: Cross multiply
    50,416.82x = 69,573.98 × 27,755.63
  4. Step 4: Simplify right side
    50,416.82x = 1,931,069,159.86
  5. Step 5: Solve for x
    x = 1,931,069,159.86/50,416.82
  6. Step 6: Final answer
    x = 38,302.09

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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.