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Finding the Fourth Proportional to 50,773.94, 70,064.19 and 31,675.05

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Solution

The fourth proportional to 50,773.94, 70,064.19 and 31,675.05 is: 43,709.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,773.94 : 70,064.19 = 31,675.05 : x
  2. Step 2: Convert to fraction form
    50,773.94/70,064.19 = 31,675.05/x
  3. Step 3: Cross multiply
    50,773.94x = 70,064.19 × 31,675.05
  4. Step 4: Simplify right side
    50,773.94x = 2,219,286,721.46
  5. Step 5: Solve for x
    x = 2,219,286,721.46/50,773.94
  6. Step 6: Final answer
    x = 43,709.17

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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.