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Finding the Fourth Proportional to 77,623.68, 107,035.92 and 52,429.44

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Solution

The fourth proportional to 77,623.68, 107,035.92 and 52,429.44 is: 72,295.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,623.68 : 107,035.92 = 52,429.44 : x
  2. Step 2: Convert to fraction form
    77,623.68/107,035.92 = 52,429.44/x
  3. Step 3: Cross multiply
    77,623.68x = 107,035.92 × 52,429.44
  4. Step 4: Simplify right side
    77,623.68x = 5,611,833,345.48
  5. Step 5: Solve for x
    x = 5,611,833,345.48/77,623.68
  6. Step 6: Final answer
    x = 72,295.38

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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.