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Finding the Fourth Proportional to 77,532, 116,340 and 60,036

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Solution

The fourth proportional to 77,532, 116,340 and 60,036 is: 90,086.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,532 : 116,340 = 60,036 : x
  2. Step 2: Convert to fraction form
    77,532/116,340 = 60,036/x
  3. Step 3: Cross multiply
    77,532x = 116,340 × 60,036
  4. Step 4: Simplify right side
    77,532x = 6,984,588,240
  5. Step 5: Solve for x
    x = 6,984,588,240/77,532
  6. Step 6: Final answer
    x = 90,086.52

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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.