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Finding the Fourth Proportional to 57,583.41, 79,387.74 and 51,678.51

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Solution

The fourth proportional to 57,583.41, 79,387.74 and 51,678.51 is: 71,246.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,583.41 : 79,387.74 = 51,678.51 : x
  2. Step 2: Convert to fraction form
    57,583.41/79,387.74 = 51,678.51/x
  3. Step 3: Cross multiply
    57,583.41x = 79,387.74 × 51,678.51
  4. Step 4: Simplify right side
    57,583.41x = 4,102,640,115.47
  5. Step 5: Solve for x
    x = 4,102,640,115.47/57,583.41
  6. Step 6: Final answer
    x = 71,246.91

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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.