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Finding the Fourth Proportional to 32,214.40, 43,351.20 and 32,214.40

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Solution

The fourth proportional to 32,214.40, 43,351.20 and 32,214.40 is: 43,351.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,214.40 : 43,351.20 = 32,214.40 : x
  2. Step 2: Convert to fraction form
    32,214.40/43,351.20 = 32,214.40/x
  3. Step 3: Cross multiply
    32,214.40x = 43,351.20 × 32,214.40
  4. Step 4: Simplify right side
    32,214.40x = 1,396,532,897.28
  5. Step 5: Solve for x
    x = 1,396,532,897.28/32,214.40
  6. Step 6: Final answer
    x = 43,351.20

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.