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Finding the Fourth Proportional to 127,393.96, 191,091.40 and 38,648.24

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Solution

The fourth proportional to 127,393.96, 191,091.40 and 38,648.24 is: 57,972.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,393.96 : 191,091.40 = 38,648.24 : x
  2. Step 2: Convert to fraction form
    127,393.96/191,091.40 = 38,648.24/x
  3. Step 3: Cross multiply
    127,393.96x = 191,091.40 × 38,648.24
  4. Step 4: Simplify right side
    127,393.96x = 7,385,346,289.14
  5. Step 5: Solve for x
    x = 7,385,346,289.14/127,393.96
  6. Step 6: Final answer
    x = 57,972.50

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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.