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Finding the Fourth Proportional to 32,406.40, 43,128.16 and 32,406.40

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Solution

The fourth proportional to 32,406.40, 43,128.16 and 32,406.40 is: 43,128.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,406.40 : 43,128.16 = 32,406.40 : x
  2. Step 2: Convert to fraction form
    32,406.40/43,128.16 = 32,406.40/x
  3. Step 3: Cross multiply
    32,406.40x = 43,128.16 × 32,406.40
  4. Step 4: Simplify right side
    32,406.40x = 1,397,628,404.22
  5. Step 5: Solve for x
    x = 1,397,628,404.22/32,406.40
  6. Step 6: Final answer
    x = 43,128.16

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These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.