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Finding the Fourth Proportional to 100,824.31, 151,258.97 and 30,709.03

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Solution

The fourth proportional to 100,824.31, 151,258.97 and 30,709.03 is: 46,070.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,824.31 : 151,258.97 = 30,709.03 : x
  2. Step 2: Convert to fraction form
    100,824.31/151,258.97 = 30,709.03/x
  3. Step 3: Cross multiply
    100,824.31x = 151,258.97 × 30,709.03
  4. Step 4: Simplify right side
    100,824.31x = 4,645,016,247.50
  5. Step 5: Solve for x
    x = 4,645,016,247.50/100,824.31
  6. Step 6: Final answer
    x = 46,070.40

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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.