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Finding the Fourth Proportional to 77,353.68, 106,748.25 and 43,819.68

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Solution

The fourth proportional to 77,353.68, 106,748.25 and 43,819.68 is: 60,471.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,353.68 : 106,748.25 = 43,819.68 : x
  2. Step 2: Convert to fraction form
    77,353.68/106,748.25 = 43,819.68/x
  3. Step 3: Cross multiply
    77,353.68x = 106,748.25 × 43,819.68
  4. Step 4: Simplify right side
    77,353.68x = 4,677,674,155.56
  5. Step 5: Solve for x
    x = 4,677,674,155.56/77,353.68
  6. Step 6: Final answer
    x = 60,471.26

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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.