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Finding the Fourth Proportional to 47,443.37, 71,176.71 and 33,430.74

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Solution

The fourth proportional to 47,443.37, 71,176.71 and 33,430.74 is: 50,154.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,443.37 : 71,176.71 = 33,430.74 : x
  2. Step 2: Convert to fraction form
    47,443.37/71,176.71 = 33,430.74/x
  3. Step 3: Cross multiply
    47,443.37x = 71,176.71 × 33,430.74
  4. Step 4: Simplify right side
    47,443.37x = 2,379,490,086.07
  5. Step 5: Solve for x
    x = 2,379,490,086.07/47,443.37
  6. Step 6: Final answer
    x = 50,154.33

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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.