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Finding the Fourth Proportional to 103,033.09, 154,505.09 and 35,572.24

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Solution

The fourth proportional to 103,033.09, 154,505.09 and 35,572.24 is: 53,342.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,033.09 : 154,505.09 = 35,572.24 : x
  2. Step 2: Convert to fraction form
    103,033.09/154,505.09 = 35,572.24/x
  3. Step 3: Cross multiply
    103,033.09x = 154,505.09 × 35,572.24
  4. Step 4: Simplify right side
    103,033.09x = 5,496,092,224.67
  5. Step 5: Solve for x
    x = 5,496,092,224.67/103,033.09
  6. Step 6: Final answer
    x = 53,342.98

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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.