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Finding the Fourth Proportional to 82,593.38, 123,730.86 and 49,340.06

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Solution

The fourth proportional to 82,593.38, 123,730.86 and 49,340.06 is: 73,914.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,593.38 : 123,730.86 = 49,340.06 : x
  2. Step 2: Convert to fraction form
    82,593.38/123,730.86 = 49,340.06/x
  3. Step 3: Cross multiply
    82,593.38x = 123,730.86 × 49,340.06
  4. Step 4: Simplify right side
    82,593.38x = 6,104,888,056.25
  5. Step 5: Solve for x
    x = 6,104,888,056.25/82,593.38
  6. Step 6: Final answer
    x = 73,914.98

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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.