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Finding the Fourth Proportional to 127,419.80, 191,081.10 and 38,643.80

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Solution

The fourth proportional to 127,419.80, 191,081.10 and 38,643.80 is: 57,950.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,419.80 : 191,081.10 = 38,643.80 : x
  2. Step 2: Convert to fraction form
    127,419.80/191,081.10 = 38,643.80/x
  3. Step 3: Cross multiply
    127,419.80x = 191,081.10 × 38,643.80
  4. Step 4: Simplify right side
    127,419.80x = 7,384,099,812.18
  5. Step 5: Solve for x
    x = 7,384,099,812.18/127,419.80
  6. Step 6: Final answer
    x = 57,950.96

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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.