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Finding the Fourth Proportional to 127,107.63, 190,662.56 and 32,337.90

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Solution

The fourth proportional to 127,107.63, 190,662.56 and 32,337.90 is: 48,507.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,107.63 : 190,662.56 = 32,337.90 : x
  2. Step 2: Convert to fraction form
    127,107.63/190,662.56 = 32,337.90/x
  3. Step 3: Cross multiply
    127,107.63x = 190,662.56 × 32,337.90
  4. Step 4: Simplify right side
    127,107.63x = 6,165,626,758.60
  5. Step 5: Solve for x
    x = 6,165,626,758.60/127,107.63
  6. Step 6: Final answer
    x = 48,507.13

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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.