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Finding the Fourth Proportional to 52,310.92, 72,199.56 and 31,086.10

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Solution

The fourth proportional to 52,310.92, 72,199.56 and 31,086.10 is: 42,905.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,310.92 : 72,199.56 = 31,086.10 : x
  2. Step 2: Convert to fraction form
    52,310.92/72,199.56 = 31,086.10/x
  3. Step 3: Cross multiply
    52,310.92x = 72,199.56 × 31,086.10
  4. Step 4: Simplify right side
    52,310.92x = 2,244,402,742.12
  5. Step 5: Solve for x
    x = 2,244,402,742.12/52,310.92
  6. Step 6: Final answer
    x = 42,905.05

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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.