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Finding the Fourth Proportional to 78,062.43, 107,728.95 and 44,076.96

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Solution

The fourth proportional to 78,062.43, 107,728.95 and 44,076.96 is: 60,827.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,062.43 : 107,728.95 = 44,076.96 : x
  2. Step 2: Convert to fraction form
    78,062.43/107,728.95 = 44,076.96/x
  3. Step 3: Cross multiply
    78,062.43x = 107,728.95 × 44,076.96
  4. Step 4: Simplify right side
    78,062.43x = 4,748,364,785.28
  5. Step 5: Solve for x
    x = 4,748,364,785.28/78,062.43
  6. Step 6: Final answer
    x = 60,827.78

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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.