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Finding the Fourth Proportional to 32,407.40, 43,129.49 and 32,407.40

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Solution

The fourth proportional to 32,407.40, 43,129.49 and 32,407.40 is: 43,129.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,407.40 : 43,129.49 = 32,407.40 : x
  2. Step 2: Convert to fraction form
    32,407.40/43,129.49 = 32,407.40/x
  3. Step 3: Cross multiply
    32,407.40x = 43,129.49 × 32,407.40
  4. Step 4: Simplify right side
    32,407.40x = 1,397,714,634.23
  5. Step 5: Solve for x
    x = 1,397,714,634.23/32,407.40
  6. Step 6: Final answer
    x = 43,129.49

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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.