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Finding the Fourth Proportional to 67,829.80, 101,841.90 and 51,305.80

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Solution

The fourth proportional to 67,829.80, 101,841.90 and 51,305.80 is: 77,032.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,829.80 : 101,841.90 = 51,305.80 : x
  2. Step 2: Convert to fraction form
    67,829.80/101,841.90 = 51,305.80/x
  3. Step 3: Cross multiply
    67,829.80x = 101,841.90 × 51,305.80
  4. Step 4: Simplify right side
    67,829.80x = 5,225,080,153.02
  5. Step 5: Solve for x
    x = 5,225,080,153.02/67,829.80
  6. Step 6: Final answer
    x = 77,032.22

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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.