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Finding the Fourth Proportional to 31,123, 42,934.93 and 21,054.97

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Solution

The fourth proportional to 31,123, 42,934.93 and 21,054.97 is: 29,045.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,123 : 42,934.93 = 21,054.97 : x
  2. Step 2: Convert to fraction form
    31,123/42,934.93 = 21,054.97/x
  3. Step 3: Cross multiply
    31,123x = 42,934.93 × 21,054.97
  4. Step 4: Simplify right side
    31,123x = 903,993,663.10
  5. Step 5: Solve for x
    x = 903,993,663.10/31,123
  6. Step 6: Final answer
    x = 29,045.84

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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.