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Finding the Fourth Proportional to 82,842.66, 124,193.79 and 36,059.94

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Solution

The fourth proportional to 82,842.66, 124,193.79 and 36,059.94 is: 54,059.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,842.66 : 124,193.79 = 36,059.94 : x
  2. Step 2: Convert to fraction form
    82,842.66/124,193.79 = 36,059.94/x
  3. Step 3: Cross multiply
    82,842.66x = 124,193.79 × 36,059.94
  4. Step 4: Simplify right side
    82,842.66x = 4,478,420,615.77
  5. Step 5: Solve for x
    x = 4,478,420,615.77/82,842.66
  6. Step 6: Final answer
    x = 54,059.35

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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.