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Finding the Fourth Proportional to 73,085.60, 109,455.60 and 49,584.80

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Solution

The fourth proportional to 73,085.60, 109,455.60 and 49,584.80 is: 74,259.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,085.60 : 109,455.60 = 49,584.80 : x
  2. Step 2: Convert to fraction form
    73,085.60/109,455.60 = 49,584.80/x
  3. Step 3: Cross multiply
    73,085.60x = 109,455.60 × 49,584.80
  4. Step 4: Simplify right side
    73,085.60x = 5,427,334,034.88
  5. Step 5: Solve for x
    x = 5,427,334,034.88/73,085.60
  6. Step 6: Final answer
    x = 74,259.96

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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.