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Finding the Fourth Proportional to 101,842.80, 152,764.20 and 26,962.80

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Solution

The fourth proportional to 101,842.80, 152,764.20 and 26,962.80 is: 40,444.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,842.80 : 152,764.20 = 26,962.80 : x
  2. Step 2: Convert to fraction form
    101,842.80/152,764.20 = 26,962.80/x
  3. Step 3: Cross multiply
    101,842.80x = 152,764.20 × 26,962.80
  4. Step 4: Simplify right side
    101,842.80x = 4,118,950,571.76
  5. Step 5: Solve for x
    x = 4,118,950,571.76/101,842.80
  6. Step 6: Final answer
    x = 40,444.20

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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.