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Finding the Fourth Proportional to 70,299.28, 105,487.92 and 28,775.44

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Solution

The fourth proportional to 70,299.28, 105,487.92 and 28,775.44 is: 43,179.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,299.28 : 105,487.92 = 28,775.44 : x
  2. Step 2: Convert to fraction form
    70,299.28/105,487.92 = 28,775.44/x
  3. Step 3: Cross multiply
    70,299.28x = 105,487.92 × 28,775.44
  4. Step 4: Simplify right side
    70,299.28x = 3,035,461,312.68
  5. Step 5: Solve for x
    x = 3,035,461,312.68/70,299.28
  6. Step 6: Final answer
    x = 43,179.12

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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.