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Finding the Fourth Proportional to 82,259.68, 113,517.66 and 44,533.60

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Solution

The fourth proportional to 82,259.68, 113,517.66 and 44,533.60 is: 61,455.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,259.68 : 113,517.66 = 44,533.60 : x
  2. Step 2: Convert to fraction form
    82,259.68/113,517.66 = 44,533.60/x
  3. Step 3: Cross multiply
    82,259.68x = 113,517.66 × 44,533.60
  4. Step 4: Simplify right side
    82,259.68x = 5,055,350,063.38
  5. Step 5: Solve for x
    x = 5,055,350,063.38/82,259.68
  6. Step 6: Final answer
    x = 61,455.99

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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.