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Finding the Fourth Proportional to 77,893.59, 107,507.16 and 74,343.82

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Solution

The fourth proportional to 77,893.59, 107,507.16 and 74,343.82 is: 102,607.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,893.59 : 107,507.16 = 74,343.82 : x
  2. Step 2: Convert to fraction form
    77,893.59/107,507.16 = 74,343.82/x
  3. Step 3: Cross multiply
    77,893.59x = 107,507.16 × 74,343.82
  4. Step 4: Simplify right side
    77,893.59x = 7,992,492,951.75
  5. Step 5: Solve for x
    x = 7,992,492,951.75/77,893.59
  6. Step 6: Final answer
    x = 102,607.84

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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.