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Finding the Fourth Proportional to 57,095.60, 85,643.40 and 30,851.60

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Solution

The fourth proportional to 57,095.60, 85,643.40 and 30,851.60 is: 46,277.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,095.60 : 85,643.40 = 30,851.60 : x
  2. Step 2: Convert to fraction form
    57,095.60/85,643.40 = 30,851.60/x
  3. Step 3: Cross multiply
    57,095.60x = 85,643.40 × 30,851.60
  4. Step 4: Simplify right side
    57,095.60x = 2,642,235,919.44
  5. Step 5: Solve for x
    x = 2,642,235,919.44/57,095.60
  6. Step 6: Final answer
    x = 46,277.40

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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.