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Finding the Fourth Proportional to 46,540.80, 64,218.88 and 30,631.68

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Solution

The fourth proportional to 46,540.80, 64,218.88 and 30,631.68 is: 42,266.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,540.80 : 64,218.88 = 30,631.68 : x
  2. Step 2: Convert to fraction form
    46,540.80/64,218.88 = 30,631.68/x
  3. Step 3: Cross multiply
    46,540.80x = 64,218.88 × 30,631.68
  4. Step 4: Simplify right side
    46,540.80x = 1,967,132,182.12
  5. Step 5: Solve for x
    x = 1,967,132,182.12/46,540.80
  6. Step 6: Final answer
    x = 42,266.83

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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.