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Finding the Fourth Proportional to 78,245.66, 107,937.36 and 47,628.07

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Solution

The fourth proportional to 78,245.66, 107,937.36 and 47,628.07 is: 65,701.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,245.66 : 107,937.36 = 47,628.07 : x
  2. Step 2: Convert to fraction form
    78,245.66/107,937.36 = 47,628.07/x
  3. Step 3: Cross multiply
    78,245.66x = 107,937.36 × 47,628.07
  4. Step 4: Simplify right side
    78,245.66x = 5,140,847,867.85
  5. Step 5: Solve for x
    x = 5,140,847,867.85/78,245.66
  6. Step 6: Final answer
    x = 65,701.38

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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.