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Finding the Fourth Proportional to 53,636.16, 80,349.60 and 35,112

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Solution

The fourth proportional to 53,636.16, 80,349.60 and 35,112 is: 52,599.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,636.16 : 80,349.60 = 35,112 : x
  2. Step 2: Convert to fraction form
    53,636.16/80,349.60 = 35,112/x
  3. Step 3: Cross multiply
    53,636.16x = 80,349.60 × 35,112
  4. Step 4: Simplify right side
    53,636.16x = 2,821,235,155.20
  5. Step 5: Solve for x
    x = 2,821,235,155.20/53,636.16
  6. Step 6: Final answer
    x = 52,599.50

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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.