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Finding the Fourth Proportional to 49,487.72, 74,230.50 and 12,047.96

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Solution

The fourth proportional to 49,487.72, 74,230.50 and 12,047.96 is: 18,071.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,487.72 : 74,230.50 = 12,047.96 : x
  2. Step 2: Convert to fraction form
    49,487.72/74,230.50 = 12,047.96/x
  3. Step 3: Cross multiply
    49,487.72x = 74,230.50 × 12,047.96
  4. Step 4: Simplify right side
    49,487.72x = 894,326,094.78
  5. Step 5: Solve for x
    x = 894,326,094.78/49,487.72
  6. Step 6: Final answer
    x = 18,071.68

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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.