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Finding the Fourth Proportional to 127,097.50, 190,646.25 and 33,603.25

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Solution

The fourth proportional to 127,097.50, 190,646.25 and 33,603.25 is: 50,404.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,097.50 : 190,646.25 = 33,603.25 : x
  2. Step 2: Convert to fraction form
    127,097.50/190,646.25 = 33,603.25/x
  3. Step 3: Cross multiply
    127,097.50x = 190,646.25 × 33,603.25
  4. Step 4: Simplify right side
    127,097.50x = 6,406,333,600.31
  5. Step 5: Solve for x
    x = 6,406,333,600.31/127,097.50
  6. Step 6: Final answer
    x = 50,404.88

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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.