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Finding the Fourth Proportional to 77,738.64, 107,279.31 and 44,204.64

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Solution

The fourth proportional to 77,738.64, 107,279.31 and 44,204.64 is: 61,002.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,738.64 : 107,279.31 = 44,204.64 : x
  2. Step 2: Convert to fraction form
    77,738.64/107,279.31 = 44,204.64/x
  3. Step 3: Cross multiply
    77,738.64x = 107,279.31 × 44,204.64
  4. Step 4: Simplify right side
    77,738.64x = 4,742,243,278.00
  5. Step 5: Solve for x
    x = 4,742,243,278.00/77,738.64
  6. Step 6: Final answer
    x = 61,002.40

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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.