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Finding the Fourth Proportional to 52,086, 71,880.09 and 31,931.28

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Solution

The fourth proportional to 52,086, 71,880.09 and 31,931.28 is: 44,066.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,086 : 71,880.09 = 31,931.28 : x
  2. Step 2: Convert to fraction form
    52,086/71,880.09 = 31,931.28/x
  3. Step 3: Cross multiply
    52,086x = 71,880.09 × 31,931.28
  4. Step 4: Simplify right side
    52,086x = 2,295,223,280.22
  5. Step 5: Solve for x
    x = 2,295,223,280.22/52,086
  6. Step 6: Final answer
    x = 44,066.03

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.