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Finding the Fourth Proportional to 37,092.94, 51,258.12 and 28,123.81

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Solution

The fourth proportional to 37,092.94, 51,258.12 and 28,123.81 is: 38,863.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,092.94 : 51,258.12 = 28,123.81 : x
  2. Step 2: Convert to fraction form
    37,092.94/51,258.12 = 28,123.81/x
  3. Step 3: Cross multiply
    37,092.94x = 51,258.12 × 28,123.81
  4. Step 4: Simplify right side
    37,092.94x = 1,441,573,394.23
  5. Step 5: Solve for x
    x = 1,441,573,394.23/37,092.94
  6. Step 6: Final answer
    x = 38,863.82

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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.