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Finding the Fourth Proportional to 81,777.60, 122,670.45 and 42,411.60

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Solution

The fourth proportional to 81,777.60, 122,670.45 and 42,411.60 is: 63,619.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,777.60 : 122,670.45 = 42,411.60 : x
  2. Step 2: Convert to fraction form
    81,777.60/122,670.45 = 42,411.60/x
  3. Step 3: Cross multiply
    81,777.60x = 122,670.45 × 42,411.60
  4. Step 4: Simplify right side
    81,777.60x = 5,202,650,057.22
  5. Step 5: Solve for x
    x = 5,202,650,057.22/81,777.60
  6. Step 6: Final answer
    x = 63,619.50

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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.