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Finding the Fourth Proportional to 53,630.16, 80,340.60 and 35,106

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Solution

The fourth proportional to 53,630.16, 80,340.60 and 35,106 is: 52,590.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,630.16 : 80,340.60 = 35,106 : x
  2. Step 2: Convert to fraction form
    53,630.16/80,340.60 = 35,106/x
  3. Step 3: Cross multiply
    53,630.16x = 80,340.60 × 35,106
  4. Step 4: Simplify right side
    53,630.16x = 2,820,437,103.60
  5. Step 5: Solve for x
    x = 2,820,437,103.60/53,630.16
  6. Step 6: Final answer
    x = 52,590.50

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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.