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Finding the Fourth Proportional to 31,146.40, 46,719.60 and 10,086.40

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Solution

The fourth proportional to 31,146.40, 46,719.60 and 10,086.40 is: 15,129.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,146.40 : 46,719.60 = 10,086.40 : x
  2. Step 2: Convert to fraction form
    31,146.40/46,719.60 = 10,086.40/x
  3. Step 3: Cross multiply
    31,146.40x = 46,719.60 × 10,086.40
  4. Step 4: Simplify right side
    31,146.40x = 471,232,573.44
  5. Step 5: Solve for x
    x = 471,232,573.44/31,146.40
  6. Step 6: Final answer
    x = 15,129.60

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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.