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Finding the Fourth Proportional to 46,382.80, 69,449.54 and 38,162.02

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Solution

The fourth proportional to 46,382.80, 69,449.54 and 38,162.02 is: 57,140.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,382.80 : 69,449.54 = 38,162.02 : x
  2. Step 2: Convert to fraction form
    46,382.80/69,449.54 = 38,162.02/x
  3. Step 3: Cross multiply
    46,382.80x = 69,449.54 × 38,162.02
  4. Step 4: Simplify right side
    46,382.80x = 2,650,334,734.47
  5. Step 5: Solve for x
    x = 2,650,334,734.47/46,382.80
  6. Step 6: Final answer
    x = 57,140.46

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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.