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Finding the Fourth Proportional to 82,762.83, 114,195.39 and 54,124.47

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Solution

The fourth proportional to 82,762.83, 114,195.39 and 54,124.47 is: 74,680.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,762.83 : 114,195.39 = 54,124.47 : x
  2. Step 2: Convert to fraction form
    82,762.83/114,195.39 = 54,124.47/x
  3. Step 3: Cross multiply
    82,762.83x = 114,195.39 × 54,124.47
  4. Step 4: Simplify right side
    82,762.83x = 6,180,764,960.19
  5. Step 5: Solve for x
    x = 6,180,764,960.19/82,762.83
  6. Step 6: Final answer
    x = 74,680.44

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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.