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Finding the Fourth Proportional to 31,123.50, 42,935.63 and 21,055.47

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Solution

The fourth proportional to 31,123.50, 42,935.63 and 21,055.47 is: 29,046.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,123.50 : 42,935.63 = 21,055.47 : x
  2. Step 2: Convert to fraction form
    31,123.50/42,935.63 = 21,055.47/x
  3. Step 3: Cross multiply
    31,123.50x = 42,935.63 × 21,055.47
  4. Step 4: Simplify right side
    31,123.50x = 904,029,764.12
  5. Step 5: Solve for x
    x = 904,029,764.12/31,123.50
  6. Step 6: Final answer
    x = 29,046.53

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.