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Finding the Fourth Proportional to 117,466.92, 176,280.48 and 47,351.52

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Solution

The fourth proportional to 117,466.92, 176,280.48 and 47,351.52 is: 71,059.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,466.92 : 176,280.48 = 47,351.52 : x
  2. Step 2: Convert to fraction form
    117,466.92/176,280.48 = 47,351.52/x
  3. Step 3: Cross multiply
    117,466.92x = 176,280.48 × 47,351.52
  4. Step 4: Simplify right side
    117,466.92x = 8,347,148,674.33
  5. Step 5: Solve for x
    x = 8,347,148,674.33/117,466.92
  6. Step 6: Final answer
    x = 71,059.57

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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.