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Finding the Fourth Proportional to 94,761.92, 130,771.70 and 51,741.47

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Solution

The fourth proportional to 94,761.92, 130,771.70 and 51,741.47 is: 71,403.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,761.92 : 130,771.70 = 51,741.47 : x
  2. Step 2: Convert to fraction form
    94,761.92/130,771.70 = 51,741.47/x
  3. Step 3: Cross multiply
    94,761.92x = 130,771.70 × 51,741.47
  4. Step 4: Simplify right side
    94,761.92x = 6,766,319,992.40
  5. Step 5: Solve for x
    x = 6,766,319,992.40/94,761.92
  6. Step 6: Final answer
    x = 71,403.37

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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.