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Finding the Fourth Proportional to 58,947.86, 81,324.01 and 36,280.01

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Solution

The fourth proportional to 58,947.86, 81,324.01 and 36,280.01 is: 50,051.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,947.86 : 81,324.01 = 36,280.01 : x
  2. Step 2: Convert to fraction form
    58,947.86/81,324.01 = 36,280.01/x
  3. Step 3: Cross multiply
    58,947.86x = 81,324.01 × 36,280.01
  4. Step 4: Simplify right side
    58,947.86x = 2,950,435,896.04
  5. Step 5: Solve for x
    x = 2,950,435,896.04/58,947.86
  6. Step 6: Final answer
    x = 50,051.62

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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.