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Finding the Fourth Proportional to 94,002.96, 140,971.60 and 37,828.48

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Solution

The fourth proportional to 94,002.96, 140,971.60 and 37,828.48 is: 56,729.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,002.96 : 140,971.60 = 37,828.48 : x
  2. Step 2: Convert to fraction form
    94,002.96/140,971.60 = 37,828.48/x
  3. Step 3: Cross multiply
    94,002.96x = 140,971.60 × 37,828.48
  4. Step 4: Simplify right side
    94,002.96x = 5,332,741,351.17
  5. Step 5: Solve for x
    x = 5,332,741,351.17/94,002.96
  6. Step 6: Final answer
    x = 56,729.50

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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.