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Finding the Fourth Proportional to 81,145.56, 111,978.80 and 45,335.84

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Solution

The fourth proportional to 81,145.56, 111,978.80 and 45,335.84 is: 62,562.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,145.56 : 111,978.80 = 45,335.84 : x
  2. Step 2: Convert to fraction form
    81,145.56/111,978.80 = 45,335.84/x
  3. Step 3: Cross multiply
    81,145.56x = 111,978.80 × 45,335.84
  4. Step 4: Simplify right side
    81,145.56x = 5,076,652,960.19
  5. Step 5: Solve for x
    x = 5,076,652,960.19/81,145.56
  6. Step 6: Final answer
    x = 62,562.30

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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.