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Finding the Fourth Proportional to 34,143.20, 51,291.60 and 32,837.60

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Solution

The fourth proportional to 34,143.20, 51,291.60 and 32,837.60 is: 49,330.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,143.20 : 51,291.60 = 32,837.60 : x
  2. Step 2: Convert to fraction form
    34,143.20/51,291.60 = 32,837.60/x
  3. Step 3: Cross multiply
    34,143.20x = 51,291.60 × 32,837.60
  4. Step 4: Simplify right side
    34,143.20x = 1,684,293,044.16
  5. Step 5: Solve for x
    x = 1,684,293,044.16/34,143.20
  6. Step 6: Final answer
    x = 49,330.26

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.