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Finding the Fourth Proportional to 42,947.50, 64,420.20 and 16,652.25

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Solution

The fourth proportional to 42,947.50, 64,420.20 and 16,652.25 is: 24,977.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,947.50 : 64,420.20 = 16,652.25 : x
  2. Step 2: Convert to fraction form
    42,947.50/64,420.20 = 16,652.25/x
  3. Step 3: Cross multiply
    42,947.50x = 64,420.20 × 16,652.25
  4. Step 4: Simplify right side
    42,947.50x = 1,072,741,394.87
  5. Step 5: Solve for x
    x = 1,072,741,394.87/42,947.50
  6. Step 6: Final answer
    x = 24,977.97

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.