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Finding the Fourth Proportional to 99,089, 148,633.50 and 33,425

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Solution

The fourth proportional to 99,089, 148,633.50 and 33,425 is: 50,137.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,089 : 148,633.50 = 33,425 : x
  2. Step 2: Convert to fraction form
    99,089/148,633.50 = 33,425/x
  3. Step 3: Cross multiply
    99,089x = 148,633.50 × 33,425
  4. Step 4: Simplify right side
    99,089x = 4,968,074,737.50
  5. Step 5: Solve for x
    x = 4,968,074,737.50/99,089
  6. Step 6: Final answer
    x = 50,137.50

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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.