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Finding the Fourth Proportional to 127,032.84, 190,546.02 and 33,539.40

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Solution

The fourth proportional to 127,032.84, 190,546.02 and 33,539.40 is: 50,308.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,032.84 : 190,546.02 = 33,539.40 : x
  2. Step 2: Convert to fraction form
    127,032.84/190,546.02 = 33,539.40/x
  3. Step 3: Cross multiply
    127,032.84x = 190,546.02 × 33,539.40
  4. Step 4: Simplify right side
    127,032.84x = 6,390,799,183.19
  5. Step 5: Solve for x
    x = 6,390,799,183.19/127,032.84
  6. Step 6: Final answer
    x = 50,308.24

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.