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Finding the Fourth Proportional to 49,673.04, 74,509.72 and 12,234

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Solution

The fourth proportional to 49,673.04, 74,509.72 and 12,234 is: 18,351.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,673.04 : 74,509.72 = 12,234 : x
  2. Step 2: Convert to fraction form
    49,673.04/74,509.72 = 12,234/x
  3. Step 3: Cross multiply
    49,673.04x = 74,509.72 × 12,234
  4. Step 4: Simplify right side
    49,673.04x = 911,551,853.31
  5. Step 5: Solve for x
    x = 911,551,853.31/49,673.04
  6. Step 6: Final answer
    x = 18,351.04

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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.