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Finding the Fourth Proportional to 49,410, 73,999.68 and 38,280.96

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Solution

The fourth proportional to 49,410, 73,999.68 and 38,280.96 is: 57,332.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,410 : 73,999.68 = 38,280.96 : x
  2. Step 2: Convert to fraction form
    49,410/73,999.68 = 38,280.96/x
  3. Step 3: Cross multiply
    49,410x = 73,999.68 × 38,280.96
  4. Step 4: Simplify right side
    49,410x = 2,832,778,790.09
  5. Step 5: Solve for x
    x = 2,832,778,790.09/49,410
  6. Step 6: Final answer
    x = 57,332.09

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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.