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Finding the Fourth Proportional to 49,294.56, 73,941.84 and 12,358.56

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Solution

The fourth proportional to 49,294.56, 73,941.84 and 12,358.56 is: 18,537.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,294.56 : 73,941.84 = 12,358.56 : x
  2. Step 2: Convert to fraction form
    49,294.56/73,941.84 = 12,358.56/x
  3. Step 3: Cross multiply
    49,294.56x = 73,941.84 × 12,358.56
  4. Step 4: Simplify right side
    49,294.56x = 913,814,666.15
  5. Step 5: Solve for x
    x = 913,814,666.15/49,294.56
  6. Step 6: Final answer
    x = 18,537.84

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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.