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Finding the Fourth Proportional to 70,670.32, 106,021.12 and 23,283.50

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Solution

The fourth proportional to 70,670.32, 106,021.12 and 23,283.50 is: 34,930.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,670.32 : 106,021.12 = 23,283.50 : x
  2. Step 2: Convert to fraction form
    70,670.32/106,021.12 = 23,283.50/x
  3. Step 3: Cross multiply
    70,670.32x = 106,021.12 × 23,283.50
  4. Step 4: Simplify right side
    70,670.32x = 2,468,542,799.23
  5. Step 5: Solve for x
    x = 2,468,542,799.23/70,670.32
  6. Step 6: Final answer
    x = 34,930.40

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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.