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Finding the Fourth Proportional to 99,383.37, 149,089.83 and 32,830.53

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Solution

The fourth proportional to 99,383.37, 149,089.83 and 32,830.53 is: 49,250.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,383.37 : 149,089.83 = 32,830.53 : x
  2. Step 2: Convert to fraction form
    99,383.37/149,089.83 = 32,830.53/x
  3. Step 3: Cross multiply
    99,383.37x = 149,089.83 × 32,830.53
  4. Step 4: Simplify right side
    99,383.37x = 4,894,698,136.51
  5. Step 5: Solve for x
    x = 4,894,698,136.51/99,383.37
  6. Step 6: Final answer
    x = 49,250.68

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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.