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Finding the Fourth Proportional to 100,403.17, 150,509.07 and 33,809.02

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Solution

The fourth proportional to 100,403.17, 150,509.07 and 33,809.02 is: 50,681.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,403.17 : 150,509.07 = 33,809.02 : x
  2. Step 2: Convert to fraction form
    100,403.17/150,509.07 = 33,809.02/x
  3. Step 3: Cross multiply
    100,403.17x = 150,509.07 × 33,809.02
  4. Step 4: Simplify right side
    100,403.17x = 5,088,563,781.54
  5. Step 5: Solve for x
    x = 5,088,563,781.54/100,403.17
  6. Step 6: Final answer
    x = 50,681.31

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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.