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Finding the Fourth Proportional to 127,641.30, 191,489.58 and 38,892.48

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Solution

The fourth proportional to 127,641.30, 191,489.58 and 38,892.48 is: 58,347.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,641.30 : 191,489.58 = 38,892.48 : x
  2. Step 2: Convert to fraction form
    127,641.30/191,489.58 = 38,892.48/x
  3. Step 3: Cross multiply
    127,641.30x = 191,489.58 × 38,892.48
  4. Step 4: Simplify right side
    127,641.30x = 7,447,504,660.36
  5. Step 5: Solve for x
    x = 7,447,504,660.36/127,641.30
  6. Step 6: Final answer
    x = 58,347.14

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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.