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Finding the Fourth Proportional to 69,394.60, 103,946.10 and 57,730.60

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Solution

The fourth proportional to 69,394.60, 103,946.10 and 57,730.60 is: 86,474.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,394.60 : 103,946.10 = 57,730.60 : x
  2. Step 2: Convert to fraction form
    69,394.60/103,946.10 = 57,730.60/x
  3. Step 3: Cross multiply
    69,394.60x = 103,946.10 × 57,730.60
  4. Step 4: Simplify right side
    69,394.60x = 6,000,870,720.66
  5. Step 5: Solve for x
    x = 6,000,870,720.66/69,394.60
  6. Step 6: Final answer
    x = 86,474.61

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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.