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Finding the Fourth Proportional to 70,842.40, 106,276.40 and 35,693.60

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Solution

The fourth proportional to 70,842.40, 106,276.40 and 35,693.60 is: 53,546.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,842.40 : 106,276.40 = 35,693.60 : x
  2. Step 2: Convert to fraction form
    70,842.40/106,276.40 = 35,693.60/x
  3. Step 3: Cross multiply
    70,842.40x = 106,276.40 × 35,693.60
  4. Step 4: Simplify right side
    70,842.40x = 3,793,387,311.04
  5. Step 5: Solve for x
    x = 3,793,387,311.04/70,842.40
  6. Step 6: Final answer
    x = 53,546.85

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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.