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Finding the Fourth Proportional to 50,726.80, 75,944.40 and 31,043.80

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Solution

The fourth proportional to 50,726.80, 75,944.40 and 31,043.80 is: 46,476.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,726.80 : 75,944.40 = 31,043.80 : x
  2. Step 2: Convert to fraction form
    50,726.80/75,944.40 = 31,043.80/x
  3. Step 3: Cross multiply
    50,726.80x = 75,944.40 × 31,043.80
  4. Step 4: Simplify right side
    50,726.80x = 2,357,602,764.72
  5. Step 5: Solve for x
    x = 2,357,602,764.72/50,726.80
  6. Step 6: Final answer
    x = 46,476.47

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.