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Finding the Fourth Proportional to 53,665.60, 80,344.80 and 32,929.60

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Solution

The fourth proportional to 53,665.60, 80,344.80 and 32,929.60 is: 49,300.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,665.60 : 80,344.80 = 32,929.60 : x
  2. Step 2: Convert to fraction form
    53,665.60/80,344.80 = 32,929.60/x
  3. Step 3: Cross multiply
    53,665.60x = 80,344.80 × 32,929.60
  4. Step 4: Simplify right side
    53,665.60x = 2,645,722,126.08
  5. Step 5: Solve for x
    x = 2,645,722,126.08/53,665.60
  6. Step 6: Final answer
    x = 49,300.15

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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.