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Finding the Fourth Proportional to 46,493.94, 69,701.61 and 20,178.90

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Solution

The fourth proportional to 46,493.94, 69,701.61 and 20,178.90 is: 30,251.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,493.94 : 69,701.61 = 20,178.90 : x
  2. Step 2: Convert to fraction form
    46,493.94/69,701.61 = 20,178.90/x
  3. Step 3: Cross multiply
    46,493.94x = 69,701.61 × 20,178.90
  4. Step 4: Simplify right side
    46,493.94x = 1,406,501,818.03
  5. Step 5: Solve for x
    x = 1,406,501,818.03/46,493.94
  6. Step 6: Final answer
    x = 30,251.29

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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.