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Finding the Fourth Proportional to 82,305.47, 123,362.90 and 37,838.90

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Solution

The fourth proportional to 82,305.47, 123,362.90 and 37,838.90 is: 56,714.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,305.47 : 123,362.90 = 37,838.90 : x
  2. Step 2: Convert to fraction form
    82,305.47/123,362.90 = 37,838.90/x
  3. Step 3: Cross multiply
    82,305.47x = 123,362.90 × 37,838.90
  4. Step 4: Simplify right side
    82,305.47x = 4,667,916,004.00
  5. Step 5: Solve for x
    x = 4,667,916,004.00/82,305.47
  6. Step 6: Final answer
    x = 56,714.53

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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.