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Finding the Fourth Proportional to 99,230.90, 148,866.84 and 32,675

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Solution

The fourth proportional to 99,230.90, 148,866.84 and 32,675 is: 49,019.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,230.90 : 148,866.84 = 32,675 : x
  2. Step 2: Convert to fraction form
    99,230.90/148,866.84 = 32,675/x
  3. Step 3: Cross multiply
    99,230.90x = 148,866.84 × 32,675
  4. Step 4: Simplify right side
    99,230.90x = 4,864,223,997
  5. Step 5: Solve for x
    x = 4,864,223,997/99,230.90
  6. Step 6: Final answer
    x = 49,019.25

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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.