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Finding the Fourth Proportional to 37,932.50, 52,346.86 and 21,165.50

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Solution

The fourth proportional to 37,932.50, 52,346.86 and 21,165.50 is: 29,208.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,932.50 : 52,346.86 = 21,165.50 : x
  2. Step 2: Convert to fraction form
    37,932.50/52,346.86 = 21,165.50/x
  3. Step 3: Cross multiply
    37,932.50x = 52,346.86 × 21,165.50
  4. Step 4: Simplify right side
    37,932.50x = 1,107,947,465.33
  5. Step 5: Solve for x
    x = 1,107,947,465.33/37,932.50
  6. Step 6: Final answer
    x = 29,208.40

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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.