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Finding the Fourth Proportional to 57,284.66, 85,825.32 and 23,931.32

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Solution

The fourth proportional to 57,284.66, 85,825.32 and 23,931.32 is: 35,854.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,284.66 : 85,825.32 = 23,931.32 : x
  2. Step 2: Convert to fraction form
    57,284.66/85,825.32 = 23,931.32/x
  3. Step 3: Cross multiply
    57,284.66x = 85,825.32 × 23,931.32
  4. Step 4: Simplify right side
    57,284.66x = 2,053,913,197.02
  5. Step 5: Solve for x
    x = 2,053,913,197.02/57,284.66
  6. Step 6: Final answer
    x = 35,854.51

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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.