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Finding the Fourth Proportional to 99,410.63, 149,143.74 and 32,897.58

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Solution

The fourth proportional to 99,410.63, 149,143.74 and 32,897.58 is: 49,355.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,410.63 : 149,143.74 = 32,897.58 : x
  2. Step 2: Convert to fraction form
    99,410.63/149,143.74 = 32,897.58/x
  3. Step 3: Cross multiply
    99,410.63x = 149,143.74 × 32,897.58
  4. Step 4: Simplify right side
    99,410.63x = 4,906,468,118.15
  5. Step 5: Solve for x
    x = 4,906,468,118.15/99,410.63
  6. Step 6: Final answer
    x = 49,355.57

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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.