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Finding the Fourth Proportional to 50,558.40, 69,784.47 and 29,344.50

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Solution

The fourth proportional to 50,558.40, 69,784.47 and 29,344.50 is: 40,503.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,558.40 : 69,784.47 = 29,344.50 : x
  2. Step 2: Convert to fraction form
    50,558.40/69,784.47 = 29,344.50/x
  3. Step 3: Cross multiply
    50,558.40x = 69,784.47 × 29,344.50
  4. Step 4: Simplify right side
    50,558.40x = 2,047,790,379.92
  5. Step 5: Solve for x
    x = 2,047,790,379.92/50,558.40
  6. Step 6: Final answer
    x = 40,503.46

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.