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Finding the Fourth Proportional to 127,407.67, 191,101.74 and 38,661.64

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Solution

The fourth proportional to 127,407.67, 191,101.74 and 38,661.64 is: 57,989.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,407.67 : 191,101.74 = 38,661.64 : x
  2. Step 2: Convert to fraction form
    127,407.67/191,101.74 = 38,661.64/x
  3. Step 3: Cross multiply
    127,407.67x = 191,101.74 × 38,661.64
  4. Step 4: Simplify right side
    127,407.67x = 7,388,306,675.25
  5. Step 5: Solve for x
    x = 7,388,306,675.25/127,407.67
  6. Step 6: Final answer
    x = 57,989.50

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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.