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Finding the Fourth Proportional to 31,205.10, 43,764.90 and 31,205.10

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Solution

The fourth proportional to 31,205.10, 43,764.90 and 31,205.10 is: 43,764.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,205.10 : 43,764.90 = 31,205.10 : x
  2. Step 2: Convert to fraction form
    31,205.10/43,764.90 = 31,205.10/x
  3. Step 3: Cross multiply
    31,205.10x = 43,764.90 × 31,205.10
  4. Step 4: Simplify right side
    31,205.10x = 1,365,688,080.99
  5. Step 5: Solve for x
    x = 1,365,688,080.99/31,205.10
  6. Step 6: Final answer
    x = 43,764.90

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.