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Finding the Fourth Proportional to 70,798.22, 106,262.94 and 35,762.48

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Solution

The fourth proportional to 70,798.22, 106,262.94 and 35,762.48 is: 53,676.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,798.22 : 106,262.94 = 35,762.48 : x
  2. Step 2: Convert to fraction form
    70,798.22/106,262.94 = 35,762.48/x
  3. Step 3: Cross multiply
    70,798.22x = 106,262.94 × 35,762.48
  4. Step 4: Simplify right side
    70,798.22x = 3,800,226,266.49
  5. Step 5: Solve for x
    x = 3,800,226,266.49/70,798.22
  6. Step 6: Final answer
    x = 53,676.86

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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.