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Finding the Fourth Proportional to 54,794.81, 82,032.06 and 49,541.91

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Solution

The fourth proportional to 54,794.81, 82,032.06 and 49,541.91 is: 74,168.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,794.81 : 82,032.06 = 49,541.91 : x
  2. Step 2: Convert to fraction form
    54,794.81/82,032.06 = 49,541.91/x
  3. Step 3: Cross multiply
    54,794.81x = 82,032.06 × 49,541.91
  4. Step 4: Simplify right side
    54,794.81x = 4,064,024,933.63
  5. Step 5: Solve for x
    x = 4,064,024,933.63/54,794.81
  6. Step 6: Final answer
    x = 74,168.07

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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.