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Finding the Fourth Proportional to 76,809.76, 106,021.38 and 44,967.04

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Solution

The fourth proportional to 76,809.76, 106,021.38 and 44,967.04 is: 62,068.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,809.76 : 106,021.38 = 44,967.04 : x
  2. Step 2: Convert to fraction form
    76,809.76/106,021.38 = 44,967.04/x
  3. Step 3: Cross multiply
    76,809.76x = 106,021.38 × 44,967.04
  4. Step 4: Simplify right side
    76,809.76x = 4,767,467,635.32
  5. Step 5: Solve for x
    x = 4,767,467,635.32/76,809.76
  6. Step 6: Final answer
    x = 62,068.51

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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.