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Finding the Fourth Proportional to 70,673.48, 106,023.02 and 29,097.80

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Solution

The fourth proportional to 70,673.48, 106,023.02 and 29,097.80 is: 43,651.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,673.48 : 106,023.02 = 29,097.80 : x
  2. Step 2: Convert to fraction form
    70,673.48/106,023.02 = 29,097.80/x
  3. Step 3: Cross multiply
    70,673.48x = 106,023.02 × 29,097.80
  4. Step 4: Simplify right side
    70,673.48x = 3,085,036,631.36
  5. Step 5: Solve for x
    x = 3,085,036,631.36/70,673.48
  6. Step 6: Final answer
    x = 43,651.97

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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.