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Finding the Fourth Proportional to 54,851.68, 82,242.96 and 46,534.60

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Solution

The fourth proportional to 54,851.68, 82,242.96 and 46,534.60 is: 69,772.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,851.68 : 82,242.96 = 46,534.60 : x
  2. Step 2: Convert to fraction form
    54,851.68/82,242.96 = 46,534.60/x
  3. Step 3: Cross multiply
    54,851.68x = 82,242.96 × 46,534.60
  4. Step 4: Simplify right side
    54,851.68x = 3,827,143,246.42
  5. Step 5: Solve for x
    x = 3,827,143,246.42/54,851.68
  6. Step 6: Final answer
    x = 69,772.58

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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.