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Finding the Fourth Proportional to 71,159.73, 106,739.46 and 66,829.47

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Solution

The fourth proportional to 71,159.73, 106,739.46 and 66,829.47 is: 100,244.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,159.73 : 106,739.46 = 66,829.47 : x
  2. Step 2: Convert to fraction form
    71,159.73/106,739.46 = 66,829.47/x
  3. Step 3: Cross multiply
    71,159.73x = 106,739.46 × 66,829.47
  4. Step 4: Simplify right side
    71,159.73x = 7,133,341,539.89
  5. Step 5: Solve for x
    x = 7,133,341,539.89/71,159.73
  6. Step 6: Final answer
    x = 100,244.08

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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.