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Finding the Fourth Proportional to 102,503.98, 153,824.38 and 35,944.06

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Solution

The fourth proportional to 102,503.98, 153,824.38 and 35,944.06 is: 53,940.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,503.98 : 153,824.38 = 35,944.06 : x
  2. Step 2: Convert to fraction form
    102,503.98/153,824.38 = 35,944.06/x
  3. Step 3: Cross multiply
    102,503.98x = 153,824.38 × 35,944.06
  4. Step 4: Simplify right side
    102,503.98x = 5,529,072,744.18
  5. Step 5: Solve for x
    x = 5,529,072,744.18/102,503.98
  6. Step 6: Final answer
    x = 53,940.08

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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.