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Finding the Fourth Proportional to 99,093.76, 148,601.92 and 35,898.88

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Solution

The fourth proportional to 99,093.76, 148,601.92 and 35,898.88 is: 53,834.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,093.76 : 148,601.92 = 35,898.88 : x
  2. Step 2: Convert to fraction form
    99,093.76/148,601.92 = 35,898.88/x
  3. Step 3: Cross multiply
    99,093.76x = 148,601.92 × 35,898.88
  4. Step 4: Simplify right side
    99,093.76x = 5,334,642,493.85
  5. Step 5: Solve for x
    x = 5,334,642,493.85/99,093.76
  6. Step 6: Final answer
    x = 53,834.29

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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.