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Finding the Fourth Proportional to 100,907.84, 151,224.39 and 47,591.51

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Solution

The fourth proportional to 100,907.84, 151,224.39 and 47,591.51 is: 71,322.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,907.84 : 151,224.39 = 47,591.51 : x
  2. Step 2: Convert to fraction form
    100,907.84/151,224.39 = 47,591.51/x
  3. Step 3: Cross multiply
    100,907.84x = 151,224.39 × 47,591.51
  4. Step 4: Simplify right side
    100,907.84x = 7,196,997,208.79
  5. Step 5: Solve for x
    x = 7,196,997,208.79/100,907.84
  6. Step 6: Final answer
    x = 71,322.48

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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.