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Finding the Fourth Proportional to 82,827.80, 124,241.70 and 73,842.20

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Solution

The fourth proportional to 82,827.80, 124,241.70 and 73,842.20 is: 110,763.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,827.80 : 124,241.70 = 73,842.20 : x
  2. Step 2: Convert to fraction form
    82,827.80/124,241.70 = 73,842.20/x
  3. Step 3: Cross multiply
    82,827.80x = 124,241.70 × 73,842.20
  4. Step 4: Simplify right side
    82,827.80x = 9,174,280,459.74
  5. Step 5: Solve for x
    x = 9,174,280,459.74/82,827.80
  6. Step 6: Final answer
    x = 110,763.30

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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.