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Finding the Fourth Proportional to 38,677.50, 53,374.95 and 21,910.50

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Solution

The fourth proportional to 38,677.50, 53,374.95 and 21,910.50 is: 30,236.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,677.50 : 53,374.95 = 21,910.50 : x
  2. Step 2: Convert to fraction form
    38,677.50/53,374.95 = 21,910.50/x
  3. Step 3: Cross multiply
    38,677.50x = 53,374.95 × 21,910.50
  4. Step 4: Simplify right side
    38,677.50x = 1,169,471,841.98
  5. Step 5: Solve for x
    x = 1,169,471,841.98/38,677.50
  6. Step 6: Final answer
    x = 30,236.49

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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.