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Finding the Fourth Proportional to 77,634.56, 107,105.28 and 47,774.72

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Solution

The fourth proportional to 77,634.56, 107,105.28 and 47,774.72 is: 65,910.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,634.56 : 107,105.28 = 47,774.72 : x
  2. Step 2: Convert to fraction form
    77,634.56/107,105.28 = 47,774.72/x
  3. Step 3: Cross multiply
    77,634.56x = 107,105.28 × 47,774.72
  4. Step 4: Simplify right side
    77,634.56x = 5,116,924,762.52
  5. Step 5: Solve for x
    x = 5,116,924,762.52/77,634.56
  6. Step 6: Final answer
    x = 65,910.40

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.