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Finding the Fourth Proportional to 59,076.80, 81,520 and 36,412.16

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Solution

The fourth proportional to 59,076.80, 81,520 and 36,412.16 is: 50,245.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,076.80 : 81,520 = 36,412.16 : x
  2. Step 2: Convert to fraction form
    59,076.80/81,520 = 36,412.16/x
  3. Step 3: Cross multiply
    59,076.80x = 81,520 × 36,412.16
  4. Step 4: Simplify right side
    59,076.80x = 2,968,319,283.20
  5. Step 5: Solve for x
    x = 2,968,319,283.20/59,076.80
  6. Step 6: Final answer
    x = 50,245.09

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.