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Finding the Fourth Proportional to 173,673, 260,509.50 and 49,014

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Solution

The fourth proportional to 173,673, 260,509.50 and 49,014 is: 73,521

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,673 : 260,509.50 = 49,014 : x
  2. Step 2: Convert to fraction form
    173,673/260,509.50 = 49,014/x
  3. Step 3: Cross multiply
    173,673x = 260,509.50 × 49,014
  4. Step 4: Simplify right side
    173,673x = 12,768,612,633
  5. Step 5: Solve for x
    x = 12,768,612,633/173,673
  6. Step 6: Final answer
    x = 73,521

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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.