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Finding the Fourth Proportional to 99,663.09, 149,469.12 and 29,526

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Solution

The fourth proportional to 99,663.09, 149,469.12 and 29,526 is: 44,281.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,663.09 : 149,469.12 = 29,526 : x
  2. Step 2: Convert to fraction form
    99,663.09/149,469.12 = 29,526/x
  3. Step 3: Cross multiply
    99,663.09x = 149,469.12 × 29,526
  4. Step 4: Simplify right side
    99,663.09x = 4,413,225,237.12
  5. Step 5: Solve for x
    x = 4,413,225,237.12/99,663.09
  6. Step 6: Final answer
    x = 44,281.44

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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.