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Finding the Fourth Proportional to 49,402, 74,115.06 and 16,123.60

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Solution

The fourth proportional to 49,402, 74,115.06 and 16,123.60 is: 24,189.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,402 : 74,115.06 = 16,123.60 : x
  2. Step 2: Convert to fraction form
    49,402/74,115.06 = 16,123.60/x
  3. Step 3: Cross multiply
    49,402x = 74,115.06 × 16,123.60
  4. Step 4: Simplify right side
    49,402x = 1,195,001,581.42
  5. Step 5: Solve for x
    x = 1,195,001,581.42/49,402
  6. Step 6: Final answer
    x = 24,189.34

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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.