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Finding the Fourth Proportional to 46,493.36, 69,700.86 and 20,178.32

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Solution

The fourth proportional to 46,493.36, 69,700.86 and 20,178.32 is: 30,250.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,493.36 : 69,700.86 = 20,178.32 : x
  2. Step 2: Convert to fraction form
    46,493.36/69,700.86 = 20,178.32/x
  3. Step 3: Cross multiply
    46,493.36x = 69,700.86 × 20,178.32
  4. Step 4: Simplify right side
    46,493.36x = 1,406,446,257.36
  5. Step 5: Solve for x
    x = 1,406,446,257.36/46,493.36
  6. Step 6: Final answer
    x = 30,250.48

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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.