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Finding the Fourth Proportional to 127,073.84, 190,607.34 and 33,580.40

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Solution

The fourth proportional to 127,073.84, 190,607.34 and 33,580.40 is: 50,369.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,073.84 : 190,607.34 = 33,580.40 : x
  2. Step 2: Convert to fraction form
    127,073.84/190,607.34 = 33,580.40/x
  3. Step 3: Cross multiply
    127,073.84x = 190,607.34 × 33,580.40
  4. Step 4: Simplify right side
    127,073.84x = 6,400,670,720.14
  5. Step 5: Solve for x
    x = 6,400,670,720.14/127,073.84
  6. Step 6: Final answer
    x = 50,369.70

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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.