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Finding the Fourth Proportional to 81,956.40, 122,929.74 and 28,644.63

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Solution

The fourth proportional to 81,956.40, 122,929.74 and 28,644.63 is: 42,965.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,956.40 : 122,929.74 = 28,644.63 : x
  2. Step 2: Convert to fraction form
    81,956.40/122,929.74 = 28,644.63/x
  3. Step 3: Cross multiply
    81,956.40x = 122,929.74 × 28,644.63
  4. Step 4: Simplify right side
    81,956.40x = 3,521,276,918.30
  5. Step 5: Solve for x
    x = 3,521,276,918.30/81,956.40
  6. Step 6: Final answer
    x = 42,965.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.