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Finding the Fourth Proportional to 31,406.40, 43,335.60 and 20,810.40

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Solution

The fourth proportional to 31,406.40, 43,335.60 and 20,810.40 is: 28,714.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,406.40 : 43,335.60 = 20,810.40 : x
  2. Step 2: Convert to fraction form
    31,406.40/43,335.60 = 20,810.40/x
  3. Step 3: Cross multiply
    31,406.40x = 43,335.60 × 20,810.40
  4. Step 4: Simplify right side
    31,406.40x = 901,831,170.24
  5. Step 5: Solve for x
    x = 901,831,170.24/31,406.40
  6. Step 6: Final answer
    x = 28,714.89

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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.